There is undoubted misconception about bitcoin being anonymous, that is for sure for most of the bitcoin newcomers. Lightning, despite not being fully anon, it does provide more privacy.

The main point seems to be about education, IMO, if you look to Bitcoin overall looking solely for privacy, I don't think it will guarantee your objective.

It's like trying to build a house using only a hammer. You might get something, but far from the ideal.

Bitcoin-Lightning, aims to provide a broader experience for it's users. It has MORE privacy indeed, but can't aim to use BTC just because of this.