This has been a bug in the game for so long it's not even funny. I thought Bungie would fix it by now, but I guess not so I'm making a post about it.
Overcharging grenades used to have the functionality that it turned off super regen to do it. But that isn't the case anymore. However, now if you go to throw a bleak watcher turret (or anything where you can overcharge your grenade) your super regen stops. There is no mention of this functionality either. If you go into a mode where there is increased super regen (like Mayhem) this bug is much more clear. Please fix this bug it is very annoying.