Yes but it's ASP liquidity, a new user doesn't need to have funds locked to receive a payment. And it doesn't need to run a node.
Discussion
How much liquidity does an ASP need?
I think it's all the liquidity required to perform it's clients transactions, so I say it will depend on the ASP size or vice-versa, but I am assuming the norm will be large amounts, basically the same as big LN nodes now but instead of users putting up front it will be the ASP.
Keep digging. How long does the large amount of liquidity have to stay locked up? Iirc, it’s cumulative and massive compared to LN nodes. Even big ones.
It's 4 weeks I think, the user should redeem the txs in this time frame, I think it's because of that, so that liquidity isn't cumulative. But I'm not an expert neither in LN. We can only tell when there is a working wallet. But imo LN just as a user is a pain, but it's still the best we've got.