You're ignoring the second half of what I said. Lightning is far more complicated and annoying UX if you want to do it in a self-custodial permissionless way. Fees alone aren't the only thing you can use for plausible deniability.
Discussion
Judge: "why did I choose Lightning?"
> save fees
Judge: "why did I choose Monero?"
> because I wanted to maximize self-custody while maintaining my privacy and sovereignty
besides everything else, monero just isn't practical or appealing to merchants operating in public. too slow, and too expensive. and not to mention tainted with shadiness.
Judge: "Oh you like Lightning solely because you want to save on transaction fees? You can transact for free on Cash App, Paypal, Zelle, etc"
Come on. Your supposed deniability easily falls apart by even your own logic. You can't avoid this with either Lightning or Monero without adding sovereignty/self-custody/permissionless txns into the combination of reasons. Otherwise it makes no sense.