The lack of a middleman definitely makes XMR slightly better cryptography wise. With Cashu, you literally have to place trust in the mint not to deanonymize you.
Cashu is trusted, XMR is trustless.
Discussion
How do you, as a mint, deanonymize?
Even an account based mint only can know amount at a given moment.
I bring you a cashu proof, how do you know its origin?
From "out-of-bound" transactions and using larger denominations. Not to mention that Cashu does not have privacy at the network level, which means mints can trace users from logs and timestamps, which can be used to correlate things such as the user themselves or their location.
Again, this is all information that Cashu's own developers have warned about on their site. https://docs.cashu.space/faq