everythingisinverted So it sounds like Storage Scopes could actually protect us against this
No it wouldn't, because the kind of cliend-side scanning that proton are talking about here (scanning everything on the phone) would be implemented at the OS level, not through an app because an app is too heavily restricted in what it can do. Even if it was implemented in a way where Storage Scopes was effective in circumventing this, it would mean that simply revoking every storage permission for that app would be as effective, which would be way too easy for anyone to do and therefore not the way it would be done. Storage Scopes integrates with the app permissions, it has no bearing over what OS components are capable of since they could bypass standard app permissions/not be subject to them at all.
But you don't have to worry about that because such client-side scanning wouldn't ever make it into GrapheneOS. Although, if something like does get implemented effectively and if alternatives like GrapheneOS are banned, then the only way around it would be to stop using smartphones.
The other possibility is that client-side scanning gets implemented at the app level like for example in Whatsapp so that it scans the messages you send with it. The only way to prevent that would be to just not use such app. Storage Scopes obviously wouldn't prevent an app from accessing (and therefore, scanning) its own messages.
Storage Scopes is useful to control the files/folders an app can access even if it requires a broad access to function (like All Files/Photos and Videos, etc). Which, again, is not how system-wide client-scanning would be implemented.