I have default arena frames disabled. But for some reason this add on keeps enabling them every time I join arena. I use another add on for my arena frames and it is very annoying to see double arena frames.

I also encountered this issue. I have Blizzard Arena Frames Disabled via ElvUI which works when BigDebuffs is disabled. Once enabled an additional ArenaFrame appears on the top right below the minimap which also stays there after the arena ended. (see screenshots)
Screenshot 1:
https://prnt.sc/tjnqxf
Framestack:
https://prnt.sc/tjnrkd

Is there a setting which can fix this ? or is this a buggy interaction between addons?

Same problem here. This happens when Elvui is disabled and the arena frames are disabled via the cvar, too. Bigdebuffs seems to force enable/show the arena frames regardless of if they are enabled or not.

This might be an Elvui problem but [ADDON_ACTION_BLOCKED] AddOn 'ElvUI' tried to call the protected function 'ArenaEnemyFrames:ClearAllPoints()'. is showing up outside of arenas too and throwing taints everytime you enter combat when Elvui is enabled together with Bigdebuffs. Again disabling or enabling arena frames doesn't change anything.