Now this is my first post, but I've been reading on this forum for over a year.
Although I cannot give you firsthand advice as to the cessation of energy drink consumption on-cycle, I can say that in theory, there would be nothing that would lead me to believe it would have any detrimental effects.
My thoughts (developed purely from reading and research) made me think that it would be best to not take any stimulants or pre workouts while on cycle because your aggression, motivation and intensity would most likely already be sky-high!
I would think that resetting your stimulant tolerance on-cycle would be a good idea. That way, as soon as you're done with your cycle, you will have the pre-workouts or energy drinks to give you a big kick and a boost (since the juice is no longer in your system). That way you will still be able to lift hard during PCT in order to solidify and maintain the gains from the cycle!
As some vets have mentioned before me, you should probably continue taking all staple supplements (fish oil, multi, maybe a joint support,) while on cycle, if not year-round.
Hope that made sense, cheers