Thats easy, use the anonymous accounts. Only use your real one to install paid apps you already have (i dont) then logout

Banking apps hate working without google play services btw, mostly they don't work at all. It's really best (for privacy) to just use the mobile site or a laptop, but if you need the app I'd look into setting up a second user profile for google bullshit and installing google services and the banking app there, rather than your main profile. Also check out graphene's matrix rooms for any help you may need, they're quick.

But yes you can get banned, anonymous on aurora always unless you have a paid app like the others have said.

If it's of any help, I (n=1) used one of my personal google accounts with Aurora Store for years because I had one paid app I needed. On my latest phone I now use anon accounts because I no longer need that one app. But for the years I was logged in, I was never banned or anything. What I did, when I needed to purchase the app, I did it on a separate google account to my usual one I use for youtube and gdrive (I know, bad, I don't really use gdrive anymore but I haven't migrated the files I already have on there accumulated for years, and every time I start using a private youtube frontend it never sticks and I forget about it quickly. sorry lol). So if I got banned I would only lose a purchase and not anything else.