Not really with lightning. When a lightning payments is routed, it goes from Originator, through any number of routing nodes, and finally to the recipient. Each node in the chain only knows of the nodes on either side of them. They know who routed them a pmt and who they then routed it on to, but they have no idea who the originator nor the final recipient are. As such, lightning is inherently private. If it's private then it can't be specifically identified as tainted. 

 Reading stackexchange. It seems like tainted bitcoins are not real. It's always possible to swap  

 Bitcoin blockchain is transparent, therefore you can specifically identify UTXOs. Tracing transactions and using heuristics you can somewhat reliably (slippery slope...) trace those UTXOs as they are split up and consolidated. Mixing is one way to obsficate flagged UTXOs by combining them with clean UTXOs before splitting them back out again, which is why governments are cracking down on mixing services like samurai. 

 Atomic swap with XMR in Cake. Safer and lower fees than faggy tumblers.