i've been playing this game since the day it came out, and honestly i've never had any better luck with DK than with any other power captain.
The "red ball" luck is something i would not know about, since I NEVER shoot these balls, and i dont remember a pro player ever doing this against me. Of course, i've seen a dk get extremely lucky, but for every time this has happened i can think of a time a Petey got just as lucky. So, im not completely sure i agree with Dk's overpowerdeness.
I will say that I do notice dk's priority, but tbh, i would never mind it somebody went dk home on me.