Interesting 'logic'. Yet a Church with no Pope for 60 years apparently doesn't. Go figure...
No, it doesn't. There has been a theologian cited here precisely to that effect. So, tell me, genius, what is the time limit for a vacancy before the Church would defect? 5 years? 10? 15? 23 years 5 months 2 days 7 hours 5 minutes and 23 seconds? It's utterly absurd. You have to come up with a theological principle and not just this stupid "60 years" nonsense.
As for deriding the logic, it's basic Catholicism, that the Magisterium and the Public Worship of the Church cannot ever become substantially corrupt and hamful to souls. Would you like me to cite the Catholic Encyclopedia article to that effect? This has been taught by numerous Popes, the Church Fathers, Church Doctors, and unanimously taught by theologians before Vatican II. On the other hand, no time limit for a papal interregnum has ever been taught by anyone.
OK, so 60 years without a legitimate pope vs. 60 years of corrupt Magisterium and corrupt Public Worship. To say that the Church's Public Worship of God harms souls and displeases God is nothing short of blasphemy, and you're dangerously close to falling under the anathema pronounced by Trent for those who claim this (with only the tiniest bit of wiggle room).
What's the point of even having a Pope, a warm body sitting on the Chair and walking around Rome in white, when said Pope can corrupt the Faith and the Deposit of Revelation and impose a Rite of Public Worship that displeases God and harms souls? This is precisely WHY Our Lord established the Papacy, to prevent the Church from going off the rails. Your notion of the Papacy makes it utterly worthless, to the point that we would have been better off without a Papacy. "Lord, you want to set up a Papacy, one which could lead the entire Church into grave error? Thanks, but no thanks. We'll go it on our own here."
You need to reconsider and repent of your heretical view of the Papacy and the Church, which is nothing more than a thinly-veiled repackaging of Old Catholicism.