i mean, they will run. the question is if the app developers hate you.
and since for the most part app developers care about having you as a user so they can sell your personality to advertisers, what i actually mean by “if the app developers hate you” is “if the app is a bank”.
Many banking apps will work on secure roms like calyx/graphene. Techlore set up a submittal system here you can check: plexus.techlore.tech
As a concrete example, it indicates if the app works without google spyware at all vs if it works with the microg spyware simulation service, and indicates my former bank chase has support for migrog but not totally-google-free operation.
However, sadly (and I assume because the head dev of graphene has clear mental disorders and took a massive dump all over techlore for months at a time a couple summers back), somehow the play services question doesnt get answered on the techlore site. For that, you have to go to a different site: privsec.dev/…/banking-applications-compatibility-…