First of all, i think that no matter WHO gets control, genetics really NEEDS to be handed over fully to one department or the other. They are the only job with such a clearly contested control issue, and all that having control of it split does is end up with it looking and feeling to most like its not really a part of either department and, as everyone has agreed on, left them with little to no accountability for their jobs on-shift since they can always turn it into a game of he-said, she-said between the CMO and the RD. This lack of solid connection to either department also makes RP as a geneticist difficult. Medbay staff can't really communicate with them other than radio aince they are always on the science side of their office, and when was the last time you saw a scientist in genetics who wasnt getting powers? Its effectively a hermatige by its current design, and that only further reinforces many Geneticists habit of just spending all their time on hunting superpowers rather then being a functional part of the station as a whole.
Now for the Question of if they should be given over to the CMO or RD, I come down solidly on the side of CMO, and for one solid reason, Cloning! The geneticists are SUPPOSED to be handling all cloning activity, and cloning is (or at least was supposed to be) their #1 Priority. All research is supposed to be put on hold when someone needs a new body, and we ALL know that the only reason general Medbay staff were given access to the cloning equipment was because many a geneticist didn't do this part of their job, typically because they (like a lot of new science players) took the job for the toys, not the responsibilities. This was also exacerbated by the poor design of the genetics area in general, since you were essentially isolated from the rest of medbay and had no way to know what was going on unless you were keeping a close eye on the comms or people were banging on your door with a pile of corpses. If the genetics area could be redone to give them more situational awareness of the rest of medbay and, and also have cloning be brought back under their full, generally exclusive control, then I don't think that the discussion of who it should be under would even be happening. Their job is like Virology, typically its just doing MEDICAL research, but when the situation calls for their specific skill sets, the research is put aside and their medical job takes top priority, and remains their top priority until the situation no longer requires them. That means that if there's a blob devouring the station or the Nuke Ops Team is gunning down the Greytide in the hallways, the hunt for the perfect power gets put on the back burner and it's time to start popping out pod people.