I agree that he was resigned in part because he was well liked. It may have been a situation where the Tigers let him shop himself around with the understanding that they would be willing to bid above.
Now as far as Ilitch not spending the money elsewhere, I disagree. That was his drunken sailor era. Perhaps he wouldn’t have signed anyone else that offseason (I really don’t remember when it occurred and who else was out there), but he wasn’t shy about making it rain. The Prince Fielder signing is an example of that.