With all the reading I've done on 6mm cm, when comparing its impact on the shooting world to its 6.5 brother, you are looking at overwhelming (6.5) and underwhelming (6mm). 6mm hasn't even come close to popularity levels of the 6.5. I would not trade/replace my .243 with something so very similar as the 6mm cm. I also would not consider trade/replace of either of my 6.5cm, but at the same time, as a mostly deer hunter, if I could do it all over again, I'd no doubt settle on the veritable .270 Winchester.
Yes I'm older and have owned a great many calibers from the 22 centerfires up to and including .338. Most of all, I miss my model 70 .270 with the laminated stock from the late 80's that Mike Palazzo accurized. Fine shooter I will always regret having parted with.