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 An app that lets you privately hold money spread across multiple Chaumian mints in easy shared UX. Each mint could itself be federated. And then above a certain threshold of value, pull into self custody.

That’s pretty sovereign. No single entity can rug your whole stack, your stack is privately spread across multiple custodians in multiple jurisdictions, and the payment UX is great. And certain mints can add extra sub-apps like interactive maps to find local merchants that accept bitcoin, or interact with Chat GPT by paying sats, or Nostr-related stuff, or data storage, etc. 
 Strike USD-> Zeus lightning -> eNuts-> Nostr contacts 
 I guess custodians are high risk when you don't have an easy way out: can't pull/send/withdraw more than $1k cash daily, or other similar restrictions.
With the chaumian mints being described, one can swap his whole stack to a different mint in seconds.
Thus bank runs are constant, not once in a generation. Thus, banks (mints) must behave accordingly.
An important point is that self-custody is important for savings amounts, not so much for pocket money.
On the other hand, a Californian's pocket money is savings (life-changing) for an African.
When someone works for pennies and they manage after months (years?) of hard work to save 100$, it would suck to move it to self-sovereign on-chain wallet and pay 10% in fees due to mempool congestion.
I guess there isn't a perfect solution (or I can't find it). But we're improving daily...