I’ve done too much research on this issue for almost no reason, I don’t think it’s happening. 
This doesn’t solve the issue of multiple settings menus, which is bad UX.
Roblox is already doing this somewhat. Creators can upload more audio if they ID Verify their age. I dislike the idea of gatekeeping features though. Everyone should have access to something like this, all players and developers.
Interesting idea and a must if this [an editable menu] is implemented. Adding onto this, Roblox should have to check if the game has a custom menu first, before allowing that option to show up in the report menu. False reports shouldn’t happen with this.
That kinda defeats the purpose of editing the menu in my mind.
If there’s an API developers can tap into to see that player’s setting for that, then we would be able to show them a different UI. But then why not just have the menus as they are now? Separate.
How the Playdate does it:
Somewhat recently I looked into making games for a small handheld device called the Playdate. They solved this issue of editing a pause menu by letting developers add a max of 3 settings to it: https://sdk.play.date/2.1.1/Inside%20Playdate.html#m-menu.addMenuItem
It is limited by design, only allowing set value types, but I think something similar to this is the only way Roblox will let developers edit the Roblox Menu.
With the recently released Accessibility Settings, I’d say the idea of adding more to the settings menu isn’t entirely off the table. It might get to a point where it’s too cramped though.
Regarding recording functionality, maybe this new Captures feature will allow for recording:
I don’t think the Capture feature will work without the Roblox Menu though. We do have this, but it’s not for video recording: New Selfie Mode Developer Module.