If I'm playing rapid but berserk so the time control I play becomes blitz, then the result of the game still goes on my rapid rating (whether I won or lost, and whether the loss was over the board or on time).
The purpose of berserk is partly for the extra "point" in arenas but can also act as a handicap to your opponent if you've got a much weaker one. If used for that purpose, it might enhance the enjoyment of the game as a contest, but the effect on the rating will be slightly fake.
Arenas don't match you up by rating anyway. So perhaps all arenas should be unrated? But then the purpose of the rating is to give an indication as to how good you are, for regular matching. And a lot of players play the vast majority of their games in arenas.
The purpose of berserk is partly for the extra "point" in arenas but can also act as a handicap to your opponent if you've got a much weaker one. If used for that purpose, it might enhance the enjoyment of the game as a contest, but the effect on the rating will be slightly fake.
Arenas don't match you up by rating anyway. So perhaps all arenas should be unrated? But then the purpose of the rating is to give an indication as to how good you are, for regular matching. And a lot of players play the vast majority of their games in arenas.