If heat.gg is not making a provably fair one (they literally stated themselves) then there is no point on playing there, it all comes down to trusting the website and why would I, I wouldn't mind playing there with provably fair games, I have nothing against anyone in the crypto world but if it is not provably fair then I am not going to really risk it.
Also, you are definitely right if there was a way to provide hash myself I wouldn't play there neither because it is way too much work to put for just a simple RPS game, if there is a way to make RPS provably fair without too much work (basically just clicking) then I would love to play there, if there is nothing well I am not playing RPS right now so I would just continue to do that until someone figures it out.