Irrelevant.
But that isn't of much relevance [...]
I see our opinions on this topic are not too far away one from another 
But ...
But that property also shares it with real Bitcoins sent to a special multi-sig wallet, that was confirmed on-chain, to fund the channel.
... what is the difference between the scenario you describe and LN? The disagreement I wrote about isn't about the BTC "parked" in the transaction, but about the channel state (the transactions that are never broadcasted). Dunno what you mean here.