Maybe! You would need a way to coordinate inputs and outputs still. Coinjoins can also be expensive.
Most transactions won’t be done on L1, period. If we take that as a given, I personally think privacy on second layers makes by far the most sense.
Discussion
I still think L1 privacy will matter. But it’s gotta be reasonably priced to matter. Otherwise only bad people will use it.
> only bad people will use it
That is the trap they are setting. How about: only people who deem privacy important enough will use it.