There are actually two parts to this question:
First, did anyone, in the period from 1570 to 1962, ever challenge Pope St Pius V's right to establish the Tridentine missal for all time? Did anyone ever say "this is all well and good, but you can't bind your successors in such a fashion, you can't establish one particular missal forever"?
Second, when the missal was changed, did anyone (aside from Fr Gommar de Pauw and Archbishop Lefebvre) address the issue of Quo primum, was it just taken for granted that PSPV could not bind his successors, or was it more a case of "shhh, we can just slip this by, and nobody will ever notice"?