If fees keep increasing because of the idea demand than it's a bad situation for all of us and needs to be addressed.
Don't take this personally, but didn't you know that the more usage the more the fee rate? Fees increasing sounds more like a good situation to me.
If the ownership of funds can be changed, so can the ownership of assets.
Not necessarily. Ordinals (and tokens in general) is all about proving ownership to the wide public, but lightning is all about proving ownership to your partner. You can't prove ownership of funds in lightning to the public, you can only prove ownership of channel.
I don't think it's even possible to implement a non-fungible token transfer in lightning; surely in another off-chain solution, but not that.