Are you asking with the cheat or generally?
Because I don't see the point in asking "Overlay Turned off" I would assume you mean the cheat?
If that so, then yes, you can turn off all visuals, just keep Aimbot/Triggerbot and record yourself..
As for are the cheat's visible in recording? That depends on the game, for example BO3 is stream/recording proof through any software that use game hook to capture, such as OBS (Game Screen)