If it’s 200mm eye to eye, it’s probably 57mm stroke, so going down to a 165mm eye to eye means you’re cycling the rear suspension 61% into its travel.
I would imagine that apart from anything else, and even with a shorter stroke length, the rear wheel will hit the frame. Migh not but then you’re into the issue of leverage design and being that far into the travel means the way the suspension works is likely to be screwed up. The bike will probably be designed with a progressive rate, so the further in the travel you are, the harder it is to compress. If you’re starting at 61% of the intended travel that would make the bike ride very stiff with little or no small bump compliance.
It will be a dog mate. I’ve short stroked a bike myself before but only by 7mm on a 57mm stroke shock. Even then I could feel the impact on the way the suspension worked.