No problem. I actually just kind of answered this in a TMNT thread comparing the three machines, so I'm just going to copy/paste the JP part of that here (check the TMNT thread if you want the whole comparison)...
"JP...eh. I had a super strong honeymoon period with it, but once that was over it was REALLY over. I have had very little urge to play it again. Good game, but it just didn't pull me in and I didn't find the shots or most of the modes all that satisfying (except T-Rex modes...those rock. Paddocks are a boring slog.). I freely admit I'm the oddball on that one though, and it's a well loved game for a reason."
I would say depth and complexity is fairly similar between AIQ and JP. As for that "first layer", I think AIQ has an advantage here, but JP is not terrible in that regard. It's just not quite as intuitive for first timers. Both are loaded with unique shots and rules, but for me personally AIQ is much more satisfying in both regards. The bulk of JP is playing the paddock modes, which I found to feel very repetitive and kind of a slog to get through. The bulk of AIQ is in the gem quests, and I found them all to be completely unique with a feel of their own. I will give JP props on the T-Rex modes though...those are awesome and unique and I can't really correlate anything in AIQ to them. At the moment, JP probably wins for better/more late game content, but AIQ is still a work in progress and once Thanos is back in the code, that could swing the other direction.
Both are great games. In the end, JP just wasn't a keeper for me, but I'm glad I had it for awhile. I could see having a change of heart with it someday and owning another, but for now I have had my fill and I do not really miss it much. AIQ I am still in the honeymoon with, but I would be very surprised if it wasn't a long term keeper here. I really love everything about it from the layout, to the rules, to the A/V assets, to the art. It's a total package for me.
Best of luck...you can't really go wrong!