You know ecash wouldnt be one unified anonymity set right?
It would be a fracturing. Opposite effect of what you want.
Each mint would have it's own separate anon set.
and regarding on chain bitcoin
small dark pool >>> large transparent pool
how large a group is irrelevant for anonymity if it's users can be picked out thru KYC or weaker pseudonymity of non-coinjoiners (majority of users)
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Ecash seems like a single anonymity set because you can freely transfer in and out of mints using Lightning. i.e make a deposit to one mint, then transfer to one or more other mints.
If sats can seamlessly and privately flow throughout all mints then it appears to me that they share the larger anonymity set.
Unless I’m missing something, it seems receiving ecash would be the same as receiving monero.