I think there's unanimous agreement on what's wanted, but I'm not certain it's an either/or proposition with respect to "making it 2001-05 again" vs. "simply not getting run out of every opponent's gym." We need the latter before you can start thinking about the former, IMO - it all comes down to how much you're willing to gamble on someone who can get you both.
S&C has raised the point repeatedly - if we think we've found the Next Big Thing from the lower ranks, and that guy has a bumpy start...things get very bad, very fast.
Not sure where you're getting "either/or proposition."
Simply put, Cuonzo is a high floor / low ceiling candidate IMHO.
The best candidate is high floor / high ceiling. Lou Henson, Lon Kruger, and Bill Self were all high floor / high ceiling guys. They had proven, exceptional track records at lesser programs.
There simply wasn't enough of a track record for Groce - Thomas just bit on the hot hand vs. seeing a longer track record.
I want high floor / high ceiling. Most of the folks that fit this description aren't gettable, but I bet one guy is and it's Whitman's job to find him. Maybe Archie Miller is that guy or maybe it's someone we haven't mentioned here. Lon Kruger wasn't even on the radar when he was hired.
Having said all that, I agree with you on this: I will take Martin over the unproven mid-major hot hand guy. That's way too risky at this point.