these naive users still want to pretend its "bitcoin" even when its a different network, a non blockchain network and where the units of measure are not even understood by the bitcoin network.
If you're referring to the lightning network, then you'll find me disagreed.
The network may be different, but the units are the same. Yes, beyond the 1 sat, the bitcoin network does not understand and it's foolish to say that you transact bitcoins (since it's only a promise), but prior that, it's real bitcoins. You transfer signed transactions that are normally accepted by the bitcoin network and partake in a game theory where you're discouraged to broadcast any other than the latest transaction that is made.