It already has ... depending on what metric you are looking at.

There's more bitcoin locked in L-BTC than there is in LN channels, for instance.

But these two are different tools for different situations.

I suspect if this ordinals thing results in full blocks and higher network tx fees henceforth, that Liquid Network might be one beneficiary. I've used L-BTC as a middle conduit to move from funds on one exchange (which supported L-BTC) and then from there deposited that L-BTC with CoinOS (now at Classic.Coinos.io) to then withdraw via LN. There are multiple ways to do these types of things and L-BTC has been under-utilized, IMO.