Lsp use lightning and lightning use on-chain my dude. I do use on-chain regularly for transactions. I already told you I see no need for your transactional shitcoin right now. At the end of the day I'm not larping and using this real world. I know what's best. But you can keep pretending like montero is your savior.
Yes, LSPs are using the lightning network - not you. You're being allowed to tentatively use it. You pay an additional fee on top of the network fee for the privilege of asking permission. They can censor you at any moment. They can disappear and your wallet becomes useless. Are those things permissionless transactions? No That's okay do what you want.