I'm not that hard core left or right, black or white. Onchain are my life savings, in cold storage own keys. LN is my wallet, I have a few months of expenses in it, mostly due to value increase while it was on LN..... For daily expenses I wouldn't mind too much if it was self custodial or not, but I use a self custodial one since I put some value in it.

No I understand that. I was referring to the enforcement of actual supply of BTC on L2 being possible only if everyone is using self custodial. Otherwise there could be rehypothecation on L2 by banks.