That’s literally not how NIL works.
What you’re describing is pay-for-play, when a school is involved it constitutes lack of institutional control. Schools that “bid” on players are cheating, and cheating big. Also, the evidence is overwhelming that these schools (who have demonstrated a willingness to cheat their asses off), not surprisingly, are not coming through with the money they promise. They are willing to say anything the athlete wants to hear to gain a commitment. They then threaten the athlete that they can’t do anything about not getting the deal they were promised because the “deal” was technically against the rules.
So going around shopping for the best “NIL deal” (which, by definition involves an NCAA violation) sort of just invites a bigger and bigger screw-job.