I'll go back to the original post and the question to provide my answer:
No, I would not be disappointed if Braun was hired as the HC. In fact, I would be very happy, as I think we would be getting a young, promising HC who checks most of the boxes in what I would look for. (I think I posted my list on a separate thread on The Rock.)
And in terms of your premise, I disagree: I do not think that hiring Braun would show that the administration is not serious about athletics. If anything, hiring Braun would show that the administration is considering the players' perspectives - based on the team's comments throughout this season, I am fairly certain he would be their choice to be HC going forward. This would be an improvement, as far as I am concerned, in the administration's consideration of the players' needs. Especially when it comes to Gragg - he doesn't appear to care about the players at all. (As an aside, I don't think going after an established name to be our HC would indicate anything about the administration being serious about athletics.)
Whether Braun is "qualified to run a Big Ten program" is a matter of opinion. My opinion is that experience is somewhat over-valued and potential is under-valued in terms of coach hiring decisions, both at the NCAA and the pro levels. This is how someone like JON was able to have the career he had, even though he was pretty much a failure at each team. Teams get tunnel vision and only want to hire conventional candidates. I would much rather that NU think outside of the box.
The biggest knock on Braun's resume to be HC is probably the recruiting aspect, but I would argue that the facts that he retained a good number of players after Fitz's firing and has been successful so far in recruiting for the 2024 class shows that he has potential in this regard. The parents, like the players, seem to be a fan. I would argue that this projects well for the "living room conversations" that are critical in recruiting.
I think Braun's handling of press conferences is stellar. His impact on the defense has been clear. I think if he were elevated to HC, one of his priorities (in addition to recruiting) would be to fix the offense by replacing Bajakian with a young, innovative OC. Overall, I think Braun's potential and ceiling are high, so he is my front candidate for the HC job.
Having said all that, I don't think he should be hired by default. A national search should be conducted. He should be interviewed along with other candidates and given a fair chance. (Going through the proper process to find our HC would actually be what would make the administration look somewhat serious about athletics.) If a clearly superior candidate than Braun is identified, so be it. But no, I would definitely not be disappointed if he were chosen.
(I just don't have a lot of faith in the administration to make the right decision and to do it through the right process.)