While that technically does make a lot of sense in the grand scheme of things, sites for the first weekend happen in a vacuum. You go down the the s-curve, one by one, and place each team in their most preferred (or best remaining) site regardless of what sites it opens or closes for other teams further down the s-curve.
Baylor and Texas are both 98% going to be ahead of Gonzaga on the s-curve and would take probably Birmingham first, but then Denver second.
They’re also both likely to be ahead of AZ in the s-curve, so even if AZ has Denver first and Sacramento second (entirely possible), it won’t matter, since Denver will have been closed by the two Texas schools, and they’ll then take Sacramento, locking out the two “west” sites and giving the Zags the short end of the stick. Happens to someone every year.
This is why as auror and others have said, we really need to be ahead of 2 of X, IU, and UVA, our closest competition for Albany, to ensure we have it. Though to be fair, we don’t know their preferences.
I believe each team in contention for a top-four seed sends the committee a ranking of the sites, from their most desirable to least desirable, and they then use that to allocate.