The 622c with any camera has a slight signal delay. You won't quite get a clean frame at 1/200th using a 5dII or 5dIII. Whatever your camera's max sync speed is, you'll need to drop the shutter speed a bit to allow for the delay. Either that, or frame more loosely so you can crop out the shutter shadow. I'm not sure what the max shutter sync is for a T2i, that is why I suggested either 1/125 or 1/160. As Ryan mentions, try it and see. The best way to see the speed at which shutter shadow becomes an issue is to shoot a white background and start at max sync, and lower down incrementally until the shadow is gone.
BTW, when I first received the 622c's, I was happily clicking away at 1/200th and would have sworn that there was no shutter shadow. You won't notice it in many shots, but that does not mean it is not there. Shooting on white will make it much more apparent.