I'm a plumber and I've installed cast iron claw foot tubs on LVP with no issues. A pool table would be much heavier, but more spread out. I can't imagine you'd have any issues though.
I'm in the flooring business.
I would recommend getting an 8 MM product to go over concrete.
Anything thinner will not walk well.
A good one that we use is Shaw's Lazio plus.