A node in the Lightning network (to simplify a lot) become the payment processor that would be targeted.
(But it's kind of spurious- in practice, Coinbase, Block, etc. would be targeted far before someone running a Lightning node would be. The larger point is that very few people would interact with Bitcoin or other cryptocurrencies as a peer in the network.)
Even still I have put money into my bank then put it into cryptocurrency. My customers just want to use their bank, not a pseudocurrency. My customers aren’t trying to escape the payment processor. They can just pirate the game.