There are a number of problems with your idea, here is only one: Let's pretend for a moment that the next pope is an even more stringent and orthodox pope then say, Pope Pius X, and he plans to wholly restore the Church. There is no way that this pope would enjoy a "universal peaceful acceptance of the Church." No way.
Throughout this conciliar revolution, from it's beginning until now, not so much as one drop of blood has been shed because the pope, hierarchy, priests, nuns and people all abandoned their faith *willingly*, some even eagerly, they do not want anything to do with anything other then what they have - what they really want is what they’ve got, that’s why they have it, that’s why they’ve chosen it, that’s why they fight for it, and its why they continue to absorb it, they cling to it and they love it. You're living in a dream world if you have any notion that a holy pope will be universally peacefully accepted by the whole Church - if anything, he'll be universally violently rejected. Much blood will be shed, be certain of this.
Right now, no pope is going to receive "universal peaceful acceptance of the Church" (whatever that means to you) unless he's a Modernist Liberal who is hell bent on destroying the Church.
So that's the problem with the opinion of "all theologians" (of the last 100 years or so who hold this opinion) who make the universal peaceful acceptance the criterion for papal validity.
Now THAT was an interesting insight!
Ultimately, you are raising the question:
“What about a claimant who’s papacy should be a dogmatic fact, but isn’t?”
That scenario never occurred to me before.
And I completely agree with your suggestion that a truly orthodox pope would never has his pontificate ratified by the universal moral unanimity of the bishops.
But does that necessarily mean that the unanimous opinion of theologians are wrong that said universal acceptance makes such a papacy a dogmatic fact (and therefore as binding as it is certain)?
Still thinking it through, but I don’t think so:
It seems to indispensable to the hierarchical constitution of the Church that there could be a true pope rejected by a sizable number of bishops (for any reason), or conversely, that all the bishops could be deceived into recognizing a false pope.
But the example of a good pope-elect who refuses to gain universal consent has already happened in history (e.g., during the GWS, when saints backed competing claimants, and consequently none of them were popes, precisely because of the lack of universal consent.).
Moreover, theologians of the stature of a Billot or Alphonsus would have had these historical example in mind when writing about dogmatic facts and universal consent of the bishops.
For that reason, I don’t think the unfortunate reality you describe discredits the criteria of universal consent as the measuring stick of the legitimacy of any papacy (modernist or orthodox).
I think it does show tgat the Church has been led into an inextricable predicament which only our Lord’s intervention will solve.