Not disingenuous, I made a mistake in recalling Price signing before Hill signed form memory. No need to call me a liar, as the point stands. Sox were in hot pursuit of an ace, were going to get him (and eventually did), and they offered Hill a similar contract than Oakland did. He chose Oakland because it offered a clearer path to playing time. Ultimately, it's the players' choice. Sox could have offered twice what Oakland offered on a 1-year deal, and he probably still chooses Oakland because if he's betting on himself, he has to go to the place that offers a clearer path to playing time so he can parlay that into another contract/more money.
If anything, the one true mistake the Sox made was keeping Buch and trading Miley, who at least provided IP. Also, no way to know for sure Hill would be maintaining the same numbers he is now pitching consistently at Fenway/Camden/Rogers.