That's just a little bit too much for my morning prep routine!
Ive shaved after a bath (well, during the bath really) - and it was excellent. But that was just because of all the hot water and steam - one way to find out if a hot tub is any different.
(My bath is a sit-in scuttle!)
Having shaved several times right after a long swim in the pool,I personally found that the chlorine made my skin a bit too dry to get a fully enjoyable shave,but that the long exposure to water made the hair easier to cut,if that makes any sense.
Personally I wouldn't shave after a hot tub,but that's just my opinion.
Well, if you want heat and steam minus chlorine, sauna anyone?
To me that would be the ultimate pre-shave setup: Soften up the beard and loose a few inches in the waist