The usage model does not. This is likely part of why the lightning network struggles so much for adoption. It doesn't add the same amount of value as tokenized bitcoin. I can borrow any coin against my tokenized bitcoin (which can often result in a positive apy), then move that coin to any other L2 (ie: low cost transaction network) and use that to do transactions.
Imagine a day where instead of racking up debt on your credit cards each month and paying it off. You simply borrow against your existing holdings and pay that debt back while earning interest on your holdings. This model makes that 1-5% cashback on credit cards look like a joke.