Then they’ll see this in the description on the Play Store:
We’re part of the FSCS, so your money is protected up to £85,000.
I would assume the iOS store has something much the same.
I can see the value in including the FSCS logo in the advertising - which Monzo do do now - but I can’t see the value in adding it to the app. I would argue this is because with legacy banks you’re starting from a position of having used them as a bank and they’re trying to get you to trust their app, whereas with Monzo you’re already starting from a position of trusting their app because that’s the only way of using them (that is, if you’ve got to the point where you’ve been convinced to try them, an FSCS logo or not isn’t going to help or hinder in any way).
Perhaps not by best use of the English language above, but hopefully clear enough that you see what I’m trying to get at.
Also, slapping the FSCS logo onto a separately designed splash-screen almost always* looks flipping ugly, so I can fully understand Monzo wanting to avoid that!
*I haven’t actually seen an exception but thought I’d at least grant the possibility there may be one out there…