(to be) the elected Pope, (he) must be Catholic with a good willed intention to do as the past True popes have always done in order to be a valid election.
Playing devil's advocate, but what does "have always done" mean? There's multiple duties of the papacy. And one can fulfil the job of pope without ever issuing an infallible statement (as this isn't required or necessary). A pope could be a valid pope and not concern himself with church teachings much, if at all. There's plenty of examples of 'worldly' popes in the 14-17th centuries.
He could fulfilll the role (if he were lazy) by just worrying about the temporal aspects of the Church, like building new churches/schools.
Or, he could concern himself with fine tuning church disciplines/laws or improving catholic education, or promoting the greatness of Gregorian chant.
Or, he could do none of that. He would still be pope.
Point is, there's no requirement for any pope to proclaim or teach anything that is catholic. He can simply point to past statements made by popes or theologians or church documents. The only requirement to be pope is to fulfill the duties of the office, which are mainly temporal duties. Certainly, the pope has spiritual duties, but we all do. But spiritual duties are of the personal, free-will, realm. He can reject graces just like we all can. It doesn't disqualify him from being pope.
There use to be the Coronation Oath after the Pope is elected. Last one to
take this Oath was Montini/Paul VI in 1963.
Here is a link to the Coronation Oath:http://traditionalcatholic.net/Tradition/Information/Papal_Coronation_Oath.html
Papal Coronation Oath
"I vow to change nothing of the received Tradition, and nothing thereof I have found before me guarded by my God-pleasing predecessors, to encroach upon, to alter, or to permit any innovation therein;
To the contrary: with glowing affection as her truly faithful student and successor, to safeguard reverently the passed-on good, with my whole strength and utmost effort;
To cleanse all that is in contradiction to the canonical order, should such appear; to guard the Holy Canons and Decrees of our Popes as if they were the divine ordinance of Heaven, because I am conscious of Thee, whose place I take through the Grace of God, whose Vicarship I possess with Thy support, being subject to severest accounting before Thy Divine Tribunal over all that I shall confess;
I swear to God Almighty and the Savior Jesus Christ that I will keep whatever has been revealed through Christ and His Successors and whatever the first councils and my predecessors have defined and declared.
I will keep without sacrifice to itself the discipline and the rite of the Church. I will put outside the Church whoever dares to go against this oath, may it be somebody else or I.
If I should undertake to act in anything of contrary sense, or should permit that it will be executed, Thou willst not be merciful to me on the dreadful Day of Divine Justice.
Accordingly, without exclusion, We subject to severest excommunication anyone -- be it Ourselves or be it another -- who would dare to undertake anything new in contradiction to this constituted evangelic Tradition and the purity of the orthodox Faith and the Christian religion, or would seek to change anything by his opposing efforts, or would agree with those who undertake such a blasphemous venture."