ZYB, I didn't come across it here when researching info for the K1 kit awhile back. You might try a specific search for it using all the descriptors you can think of.
just as a side note: as you know, the K1 controls the 2-3 shift, the K2 controls the 3-4 shift. On my 300SE with the 622.357, the 3-4 shift was always too firm. So, when I installed the K1 kit to firm up the 2-3 (worked great) I was able to reduce the accumulator pressure a bit, and that softened up the 3-4 shift a little; so all was good.
Now, the only little issue I have is if I occasionally accelerate lightly in 2nd, then let off quickly (like in a parking lot) the tranny will shift up to 3rd with a litle thump. But it's totally liveable.

Good luck.
DG