I can provide a quick story on this. I used to be a heavy AMP monger in the SoCal area, and armed with a review-board-info-that-I-will-not-name that specializes in AMPs, I checked a place out in NYC. First time I went, it was great. On the 2nd floor, buzzers galore, awesome experience along with table shower. I decided to go back the second day. I was in the room, undressed, talking with the provider, and I heard a huge BANG. I heard feet scuttling, and my provider peeked out into the hallway and said "policia" (she was Columbian in an AMP lol). I freaked the F out. I quickly got clothed, stashed the cash under the sheets. NYPD pulled all the mongers out of the rooms (even the ones in the table showers lol). They took everyone's ID and information down. I make it a point to never bring any ID with me, so I told them I didn't have anything, I was visiting from out of state. They asked for my hotel and room info (I'm assuming to try to trip me up). They scared me with the spiel of "you're in an illegal establishment, people here have sex for money, that's a serious crime in NYC." They ended up taking my picture, and let me go. I imagine it was a funny/interesting sight for the people walking along the street to see 10 johns walk out all at once (fully clothed of course). Anyways, I've been scurred straight ever since, and I stay away from AMPs. They only care about volume, so I think they sometimes compromise safety (they don't space out clients, so it's easy for people get suspicious).
Providers are typically safer, as they know to act so hotel guests/staff don't get suspicious: spacing out clients, loading up on towels and linens, making sure they have turn-down service at a good time, vetting clients, etc.
Anyways, that's my experience with the whole thing, so since then, I've just stayed away from AMPs and AAMPs.