Lots of questions ...
If you're straight Sedeprivationist, you would have to hold that if some man who still had the faith, i.e. did not pertinaciously reject it, were elected, the graces of the office would then cause him to straighten the Church out. Some Sedeprivationists, however, have a hybrid view where the popes before Bergoglio were material Popes (but not formal) while Jorge himself was not even a material pope (for various reasons).
If you're an SV, then it wouldn't matter who they elect.
Even if one of these scenarios played out, you'd still have a problem, since the only way the Church can really be restored would be if someone were elected who could receive a Universal Consensus of being a legitimate Pope.
I believe that direct divine intervention will be required. Anna Maria Taigi (a rather credible source) had a vision in which Sts. Peter and Paul would appear in the time of the greatest darkness and designate the Pope who should be accepted or elected. I believe this makes sense give how much of a mess this has turned into.
But somehow God WILL fix this ... unless you believe we're in THE end times and that there will be no more popes.