Could We Build A PoS Style Network On Top Of Bitcoin To Scale It's Usability?

I have been thinking a lot about how Bitcoin scales. I think one of the biggest problems with the Lightning network and L2s in general is that the incentives are non-existent. The reason L1 works is because miner's are incentivized to secure the network.

What if Bitcoin holders were incentivized to provide liquidity to a L2 payments network via something like staking?

Essentially, you'd stake your Bitcoin -- which provides liquidity & a layer of security to the network -- and receive a yield.

This seems like a pretty straight forward concept, but I haven't heard anyone really talk about it.

I think Bitcoin's success hinges on it's ability to be a reliable, fast, and cheap payment network so all of our mental energy should be geared towards that happening.

Please note, I am not a developer and am just speculating for fun, but i'd love to hear your thoughts!