My USA experiences have TYPICALLY been .....
if I'm there for only a half hour, then no sauna.
If I'm there for an hour then there's a 30 min. sauna
followed by the TS.
Eventually both (either half hour or full hour) lead to a brief massage; the ladies game is actually to show some skin and/or cleavage and get the boys excited - followed by a non-verbal request for $. If the offered tip is not big enough then they'll deny that they perform such services and attempt to quit the session. Add enough green stuff and the story changes to "just this time" ... but you will be instructed to bring more green stuff for the next time.
Any way it goes, the actual massage is (almost) always brief; typically just lightly rubbing or bending/pulling of the body parts.
Too bad for the hapless schmuck who actually goes there for a legitimate massage. It ain't gonna happen.
With that said, I have had a couple of wonderful exceptions.