BLUF: No.
I have an FNX Tactical 45 with a Trij RMR (battery powered). First, it will increase printing (adds another 1in to the verticle profile of your firearm). Also, it provides another piece of "Gucci gear" to get snagged on clothing when you draw. Finally, if you get a battery powered one, it is just that- battery powered. The fiber optic ones would obviously solve this problem, but you are betting your life on a piece of electronic/fiber optic equipment either way- I realize this is done in LE/MIL every day, but it is one less thing to worry about on your CC firearm.
I doubt if I had to use my CC in a UOF situation an RMR would make a difference. For me, the RMR is great for quick/multiple shot solutions on different targets. Your typical UOF situation will be under 21 ft, 1 target..anything further than that and you probably would need a couple crack shot lawyers to get you out of the hole.
Get yourself some nice Truglo Fiber optic/tritium sights and call it a day. Put an RMR on your tacticool range toy.