I'm actually doing the same thing, per recommendation of my coach. I was just wondering– when you first starting wrapping your wrist, did your kick serve suffer? Mine has taken quite a beating, the kick is probably 2 feet lower and I usually end up using more shoulder action (not good) to keep it from going long. Am I wrapping too tight?
Maybe you are making it too tight but I doubt it. Lots of people have mentioned that they cant believe how well I can serve with my wrist taped.
I tape it so that the skin isn't lower where it is taped. I dunno how to better explain it, but if your forearm skin at the tape line is puffed up then the tape is too tight. (Also if your hand starts to turn purple that is a good indicator.)
Maybe my serves are not at the apex of what they could be, but they are still plenty good enough to compete with.
I would think that you have one of three problems.
1) Your service motion is excessively wristy.
2) Mentally you think that you wont be able to hit a kicker as well so you alter your motion sub consiously.
3) You are consious of your injured wrist, and are tightening up your arm and impeding your natural racquet acceleration.
J