When listing electrical parts, places will sometimes attach the letters R or P to specify which side it is--whether it is the Receptacle or the Plug. But they are both 10-30. What you may be thinking of is if you see L in front of an outlet type, like L10-30 instead of 10-30. That means locking, and it uses those curved pins, so you plug it in and twist it, so it can't be just yanked out. Those are differently shaped plugs, so they are not the same thing.
Just to reinforce/clarify on some of this. What you have there is a normal 10-30 outlet, and it's on a double pole 30A breaker. There wouldn't really be a need to get a wall connector if you don't want to. You could just buy the 10-30 adapter from Tesla and use the cord that comes with the car. But if you want to get a wall connector, that could be put on that circuit at 30A instead of the outlet.