I say that because when you’re using the chaumian mint to handle L1 transactions for you, it is using it’s own very private mechanism. When you are using it to handle Lightning for you, it is beholden to Lightning’s systems and quirks. 

I suggest asking more to the developers behind Minimint. I can’t explain it super well, sorry. 

thrown

bitcoin

Shortcomings of the Lightning Network

nout

Do you say that because the federation of the mint can see all the transactions? My understanding was that you can join the mint anonymously, no? In that case the mint federation is strictly smaller group than "everyone who has access to blockchain", so from the perspective of how many people can see what you do, this would be improvement. 

That said I agree that it's not a clear cut and it really depends on what is your risk profile and who are you trying to be private or anonymous against.   