Good post ferris. But worth considering that a fair amount of villain's Ax doesn't just flat pre and could very well consider raising turns. Probably enough of the time randoms at 7s will show up with Jx/weaker Ax here to make it worthwhile, if villain shows up with a 5 then take a note and rematch, if villain shows up with a flush then take a note as well
I actually think villain's call with a J is not bad at all, though it seems possible given he's an unknown $7 player that it was "I have a pair, call" as opposed to any decent thought process.