I am saying your entire scenario is absurd. Suicide is against the fifth commandment. No pope or anyone else can order a Catholic to commit sin.
So when was there an infallible teaching that God would not call the entire church home at one time?
Infallible teaching from the creeds says that Christ will come at the End to "judge the living and the dead." That means a last generation remnant will still be living when the sheep are separated from the goats.
I'm going to assume that's the one you are referencing. And I will say, never say never, mas. No pope can order a Catholic to commit murder? How about Pope Urban II in 1095. Or during the next 200 years the eight futile crusades that popes sent thousands of crusaders to die for? And Gregory IX instituting the Roman Inquisition in 1231 in order to purge the Church of heretics? And then there is the Spanish Inquisition (1478-1820). Do not say that Popes cannot order a Catholic to commit sin. Unless you believe that killing non-Catholics isn't a sin.