TLDR;
privacy is a bad thing.
Now I see this thread I wonder if it's another reason that'd push me to L2.
You can't use L2 if you're prevented from using bitcoin on-chain. And nobody prevents you, so I see no problem. This is nothing new, anyways; as long as you don't use centralized exchanges to store, move or invest into cryptocurrencies, there's nothing concerning you.
using a mixer(2) will be the exact reason an exchange will have to report details to governments.. your sofa purchase will end up on a government report, purely because you use a mixer.
Pretty disappointing that mixing coins is "officially" an illicit activity now. Doesn't it sound oxymoron, though, to exchange centrally and use a mixer? Pick a side; you can't protect your privacy if you don't have any.