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Only the Church has the authority to say what is being indirectly implied by Scripture and she has made no such statements in regard to flat earth.

This is true.  But it's also true that the many indirect implications regarding flat earth do exist.  And until the Church rules such DON'T apply to flat earth, we are free to argue they do.


You're very one-sided; this much is clear.

This is true.  But it's also true that the many indirect implications regarding flat earth do exist.  And until the Church rules such DON'T apply to flat earth, we are free to argue they do.

The Church has ruled.  She has said that Scripture is silent on this sort of issue.  Some people think that there are indirect implications, but this is their opinion, not a truth.  You are not free to argue that Scripture is teaching something (through indirect implications or otherwise) when the Church says that Scripture is silent on the subject.

You are free to believe that the earth is flat and to make arguments from science, but you have no authority to make claims about indirect implications of Scripture, especially not in contradiction to Church teaching.

I do not have strong feelings on the science of flat earth/ globe earth.  But I am very intense, "one-sided" as you say, on the subject of Church authority over interpretation of Scripture.  There were a few years in my youth when I was a fundamentalist protestant who accepted sola Scriptura.  I have been up close and personal with this heresy and I hate it.

The Church is certainly not, and never has been, silent on issues of science.  The Church not only has the right, but the duty of proscribing false science.  

Vatican I,Canons and Decrees, Chapter III: Of Faith, says:

... all those things are to be believed with divine and Catholic faith which are contained in the Word of God,, written or handed down, and which the Church, either by a solemn judgment or by her ordinary teaching (magisterium),proposes for belief as having been divinely revealed. ... ... although faith is above reason, there can never be any real discrepancy between faith and reason; since the same God Who reveals mysteries and infuses faith has bestowed the light of reason on the human mind, and God cannot deny Himself, nor can truth ever contradict truth. The false appearance of such a contradiction is mainly due, either to the dogmas of faith not having been understood and expounded according to the mind of the Church, or to the inventions of opinion having been taken for the verdicts of reason. We define, therefore, that every assertion contrary to a truth of enlightened faith is utterly false. Further, the Church, which together with the apostolic office of teaching, has received a charge to guard the deposit of faith, derives from God the right and the duty of proscribing false science, lest any should be deceived by philosophy and vain deceit (can.ii) Therefore all faithful Christians are not only forbidden to defend as legitimate conclusions of science such opinions as are known to be contrary to the doctrines of faith, especially if they have been condemned by the Church, but are altogether bound to account them as errors which put on the fallacious appearance of truth. (D1797)

proscribe
prō-ˈskrīb

VERB

proscribed; proscribing

1. to publish the name of as condemned to death with the property of the condemned forfeited to the state
2. to condemn or forbid as harmful or unlawful : prohibit


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According to The Earthmovers, both Pope Paul V in 1616 and Pope Urban VIII in 1633 condemned Heliocentrism and the Pythagorean heresies of Galileo. With Urban VIII universally publicizing the verdict:


Quote
On 2nd, July 1633, under orders of Pope Urban VIII, the condemnation of heliocentrism was made universally public, not just confined to Galileo alone as some apologists would argue later. Copies of the sentence and Galileo’s abjuration were sent to all vicar nuncios and inquisitors who in turn made them known to professors of philosophy and theology throughout the Catholic world. - Prologue, p. 9




Further, in the study of the Galileo Affair in the book "Burned Alive" by AA Martinez:


The theologian Inchofer was chosen in a panel of three to report on the Church's findings.  


Inchofer summarized the third official action against the New Pythagoreans: the Sacred Congregation’s condemnation of Galileo in June 1633, and that the Index had decreed that his Dialogue should be prohibited in August 1634. Inchofer then quoted the key points of the proceedings against Galileo: 228 burned alive And from what has been said, the Judgment and decree of the S. Congregation, built upon the authority of the Supreme Pontiff, we have this about the NeoPythagorean opinion, ‘it is false’, in the first place, ‘and entirely opposed to the divine Scripture, slithering perniciously into the Catholic truth’. Then, ‘It is repugnant to S. Scripture, and the true Catholic interpretation, [to be] minimally tolerated in a Christian man’, and finally, ‘totally prohibited ’.


Heliocentrism was called "false" "entirely opposed to divine Scripture" and "totally prohibited".
Heliocentric theories were then placed on the Index (still in effect today)
Heliocentrism was officially condemned by 3 popes 

"1605-1621 - Reign of Pope Paul V, who issued a 1616 decree condemning Copernicanism.
1623-1644 - Reign of Urban VIII, who issued a 2nd decree [1633] condemning Copernicanism.
1655-1657 - Reign of Pope Alexander VII, who issued a Bull [1644] reinforcing that Copernicanism was heretical...." (p.1 of O’Hanlon’s 4 page intro.)


Cardinal Ottaviani in 1966, in the same docuмent - Notification by Congregation for Doctrine of Faith: "This Congregation for Doctrine of Faith (...) reaffirms that its Index retains its moral value (...) in the sense that it is appealing to the conscience of the faithful (...) to be on their guard against written materials that can put faith and good conduct in danger" - Signed Alfredo Cardinal Ottaviani, June 14, 1966).


To sum up:

At least 3 popes despised, found repugnant, and fully condemned the entire Pythagorean Doctrine/heliocentrism.  Although they did not include a specific condemnation of the notion that earth was a globe, the entire doctrine was deemed dangerous to the faith.


To grasp at straws and say the Church didn't specifically condemn the globe, by consensus of legitimate authorities who "totally prohibited" the heliocentric model, the burden of proof that the globe was excluded from the condemnation, falls on the globers.