I personally don't like to practice the kata only one way, I like to do them in a variety of ways, often depending on my mood at the time. Sometimes the stereotypical Japanese karate, hard and snappy with a lot of stop and go; sometimes the stereotypical southern Chinese, fast, fluid, and energized; sometimes the stereotypical Taiji, very slow, soft, and flowing; sometimes a combination of these.
I'll admit I'm not very good at the first or fourth ways and lean toward the second and third, but I try to pay attention to the mechanics and principles that each way is trying to tell me. There is no reason to get locked into only one way of performing a kata, in my opinion.
Borrowing performance speed, focus, and energy from other styles and applying them to your kata can be very educational. Moreso in my opinion than learning a bunch of kata from the other styles, because this way you always have the same kata pattern as your baseline.