Just no. The opening and the closing are Bitcoin transactions. All the in-channel transactions are NOT Bitcoin transactions. Sorry. This should be obvious.
Right, not on-chain transactions.
The galling thing is that the underlying base protocol was intentionally crippled in order to implement LN. The fact that such crippling wasn't even necessary only adds insult to injury, and calls into question the motives and wisdom of those who advocated for such.
In order to build on the basic protocol, fixing transaction malleability was long overdue. It could have been done some other way, right. Or things could have been left broken, as is the case for some shitcoins.