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No Roscoe, the Dimonds are on your side, they try to show that the 1616 decree and the confirmation of its authority by Pope Urban VIII in 1633 and by the Holy Office in 1820 meant nothing by way of Pope Benedict XV's 1921 encyclical on Dante In Praeclara Summorum.
First a quote from this encyclical:

'If the progress of science showed later that that conception of the world rested on no sure foundation, that the spheres imagined by our ancestors did not exist, that nature, the number and course of the planets and stars, are not indeed as they were then thought to be, still the fundamental principle remained that the universe, whatever be the order that sustains it in its parts, is the work of the creating and preserving sign of Omnipotent God, who moves and governs all, and whose glory shines in a part more or less elsewhere: and though this Earth on which we live may not be the centre of the universe as at one time was thought, it was the scene of the original happiness of our first ancestors, witness of their unhappy fall, as too of the Redemption of mankind through the Passion and Death of Jesus Christ.'

The Dimonds say:
Here we see Pope Benedict XV, in a 1921 encyclical, declare that “this Earth on which we live may not be the center of the universe as at one time was thought.”  In all the discussions of the issue with which I’m familiar, I’ve never seen the above quotation from Pope Benedict XV brought forward.  People such as John Daly, Solange Hertz, Paula Haigh, etc., who have spent much time on this issue, were obviously unaware of this quotation.

There are only two possibilities: 1) St. Robert Bellarmine and the members of the Holy Office were correct that geocentrism is de fide; in that case, Pope Benedict XV was wrong (and was teaching heresy) when stating that the Earth may not be the center of the universe; or 2) Pope Benedict XV was correct that the issue has not yet been settled (and the Earth might not be the center) and St. Robert Bellarmine, many theologians of the Holy Office and the Holy Office’s 1633 sentence against Galileo, etc. were therefore wrong for declaring heliocentrism to be heretical and considering geocentrism to be de fide.

If #1 is true, that means that Pope Benedict XV was teaching heresy in his encyclical.  It also means that he and other numerous other popes (as will be explained below) were ignorant of the true theological status of geocentrism.

My answer to this is:
It has been asserted by certain men, like the Dimond brothers, that the above encyclical shows the 1616 edict was not an irreversible (infallible) decree because Benedict XV did not confirm a geocentric universe. The Pope was of course referring to Einstein’s theory of relativity of his time as the progress of science that held ‘the world rested on no sure foundation.’ In other words, a geocentric universe was still as viable as a heliocentric one. Moreover, the Ptolemaic system of the universe was the universe of Dante, and yes, the Pope was right about it no longer being the true system. Given the fact that in his time geocentrism was still considered falsified by the Jesuits surrounding him, one surely would have expected the Pope to say the Earth ‘is not at the centre.’ But he did not, nor that the sun does not orbit the Earth, leaving the 1616 decree as defined and declared. One could equally say Pope Benedict XV with the words ‘may not be’ did not accept the physical non-violent heliocentrism ‘of modern astronomers’ insisted on by the Holy Office from 1820.

Since the geocentric star field is offset from the Earth by 1 astronomical unit, then, as the star field rotates around the Earth on a 93 million mile radius, it will produce the same circular and elliptical formations of Gamma Draconis as that which is claimed for the heliocentric system.

First, why would anybody give your comment a thumbs down Yeti? You put your point across and asked a question.
My answer is that the centre of something does not mean the mathematical centre. From Earth we see the sun is one astronomical unit away from us. Now the stars must, in a geocentric universe created by God, be aligned to the sun, a ball of stars that circle the Earth every day and year. It is this sun-stars movement around the Earth that causes both stellar aberration and parallax to be seen from the Earth. All go around the Earth so the Earth is at the centre of this movement.