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 Well the thing is nobody knows you owned ecash outside of the mint. It's Bitcoin in Bitcoin out and Lightning in the case of Cashu.  
 Actually I see your point. The only difference in that you need to explain why you sent to a mint instead of why you swapped to Monero. Which isn't much I agree. 
 I guess that is an ever slight difference, but not sure if it is significant. Why else would you be sending to a mint (if that address is known and associated with a mint)? Will at least evoke major suspicion

And if you p2p trade or atomic swap for Monero - this is essentially the same thing as sending Bitcoin to a mint. Probably even better. No one will know you got that Monero aside from your peer (and you'll also likely be anonymous or pseudonymous with these methods too)