No it's not. All one has to do is compare the top 10 in NIL money to the top 10 ranked and top 10 bowl finishes to see that there is no direct correlation between amount of NIL money and bowl success.
At this point it seems like you're just making stuff up off the cuff rather than acknowledge that you didn't think it through when you said the Saints should have been doing their hiring search since DA got fired during the season.
You can't conduct a coach search without talking to coaches and you can't talk to coaches during the season, so there's no feasible way to start searching for a coach during the season. Your opinion is not reasonable or grounded in the reality of how coach searches work.