Honestly, it seems like a major next-gen issue and it's not just the main menu screen either. I've had my game soft-lock multiple times as well on vendor screens, terminals, main menu, etc. I think the only way to resolve this is if someone is willing to create a mod, probably a F4SE script, to fix yet another one of the issues caused by Bethesda's tendency to create messes when updating the game.
I've heard a work-around for these types of bugs is using the console command "player.moveto player" to fix it, but those are on old gen and I can't confirm it'd work for next-gen, also doesn't work if you're in the main menu or in Survival mode either, unfortunately.