Interesting take. I think it is just the opposite. You chose the coach and he instills the culture.
Most fans want a winning program regardless of the style of play etc.. If that is what you are referring to when you say
If IU sets any parameters on what IU basketball should be outside of winning and not cheating, then they have already eliminated coaches that, who knows, might be very successful here.
I think, for whatever reason, "fit" means more at IU than most other schools.
Sampson is an incredible college basketball coach, that was apparent in his time at IU...he skirted the rules though, and that was never going to fly at IU. It was incredibly stupid to bring him in back then. Nowadays, with the rules line being about as blurry as its ever been, he might have worked out better. Hell, lets go get him!!! To your point, winning would cure it all, right? Well, he'd win. And since there aren't many rules any more, doubt he'd break any at IU?.....Obviously not a great idea, because he isn't a good fit.
Crean won 2 Big 10 titles, he had IU very, very close to being back to the mountain top for a year or so. He was a very good recruiter. But he was a quirky, weird, fellow who's teams played a very inconsistent style. Its hard for me to say this...but I think of all the coaches we've had since RMK, he's the one I'd sign back up and take back, right now, if we HAD to take one of them for the next 10 years. But...to my point...he didn't end up surviving because he wasn't a good fit.
Archie, quite obviously, didn't "fit" at IU either. I think it was a combination of mediocre wins/losses and then his personality. His teams were actually "solid" overall, from a style and metrics standpoint. They just couldn't "get over the hump", to take a recent famous phrase. But it was evident very early on, that Archie wasn't going to be a long term guy at IU due to his constant sour personality.
Woodson should have been a natural "fit" at IU. Former Knight player, legend. But as I questioned when the hire was made, he had zero college experience, and his NBA record was mixed, at best.
I want to follow a team that's always going to be fun to watch. I'd take Shaka Smart, as an example, for that reason. Despite his relative struggles at Texas. He's a solid dude, his teams play a style that I think IU fans would love to follow. On the flip side of that...I wouldn't be all that excited if we hired Tony Bennett. I'd give each of those guys probably an equal chance of being good, long term coaches, at IU. I think both of their personalities would fit well at IU. And they'd both produce good, solid, winning teams. But man, I wouldn't choose to sign up for the type of basketball Bennett wins with. AND...I think in this day and age, the margin for error is A LOT thinner for Bennett/Gard type coaches. You're just not going to attract as many high level players with that style.
Long winded way of saying...I do think Dolson needs to think long and hard about what he wants IU basketball to be. Obviously winning should be at the top of that list. But this day and age, I think style of play, personality of the coach, all those things...are more important than they've ever been.