Seems like it would be a lot more fun to be at a parlor with several guys around.
If you want "fun" and "massage" then for sure parlor is best place for it with wide choice of boys...
But if you want to "fix" back or neck or just to improve health... IMHO: may be boys from "boy-parlor" do best blowjob, but I'm not sure if they have knowledges about massage. And it's impossible to check if they have license (I'm about boys). "To be touched" not means "to get a help with muscles and body".
As well - after massage I like to lay and relax, but after parlor you should go out. One more point for private massage is oil: how many parlors with private and clean shower you saw? I don't like idea to put clothes on and go out with oiled skin.
Before my first meeting with Ef I had experience in few parlors in Pattaya. Oh, first of all - it was very hard to find right place: I found just 3 places in whole city which are used by Thai people for Thai massage. Rest are just typical "touristic parlors". From thus 3 places in one only work men\boys.
But again: I agree with you - parlors are best place for fun.