From that list I only know bitfinex but it is still good to know there are others.
It has to be pointed out that whenever you deposit Lightning Bitcoin on Bitfinex, it posts in your account as a seperate (LNX) token. That token has to be converted to Bitcoin on the wallet page and vice versa if you want to exit through Lightning. I find it a bit weird that they don't credit it as Bitcoin right away, but perhaps there is a valid (security?) reason for that I can't think of right now.
I believe this has to do with their security precautions.
I understand they keep track of their wallet balance as per the blockchain, and compare that balance to total wallet balances as per their business records. I can't speak to their current specific procedures, but my presumption is if there is a large enough variance, they will stop processing withdrawals, and stop crediting deposits until they figure out what is wrong.
They probably have similar safeguards in pace for LN balances.
It is easier to keep track of various coin balances, and troubleshoot any problems they encounter if all balances are kept separate.