I posted a while ago and retracted because this is in the public section. Heck, I'm not even that comfortable posting any personal info on this subject in the private section.
While I understand all of your positions as tourists and seekers of recreation, I consider an AP to be someone who makes money gambling, either full or part time; that is, someone who has the mathematical advantage in whatever play they choose to make. Examples might include, but are not necessarily limited to: live poker, sports book betting, blackjack, rare but available 100%+ VP, some tournaments, disciplined coupon play, etc.
At the most, a player who loses money gambling but receives more than that value in comps is someone I'd call an educated gambler akin to someone who is a very sale and coupon savvy shopper. You're not paying your bills by showing up at casinos.