Just when I think I have this avionics stuff figured out, they come up with something new.
I have never heard of that type of Climax. Wow, a ground station being set off freq. I understand the why, but it would seem to cause a lot of problems, just as you have stated.
I did some digging here, and found a current radio spec sheet showing 6 dB at +/-8 KHz for the 25 KHz radio, and 2.778 KHz for the 8.333. Hope this helps.
I would have thought that under Climax they would have only used 1 offset, never two.