The short answer is yes, they would. Especially someone in senior ranks would, because senior ranks, especially here in Ottawa, are very visible, very prominent. They would be, and it would be brought to the attention of those who would be hiring them.
At all rank levels, gaming, as I said, is possible. Anything is possible, but it is very visible, and it comes back to the individual. Who has the right to put in a grievance? You could write a grievance saying you don't think it was fair, or that you believe this person was picked unfairly, or this person was gaming the system. But I can tell you, in my almost three years as CMP--I leave this summer, on July 7th--I haven't had a redress come to my level on this issue. I haven't seen one instance of someone claiming at the end that they weren't treated fairly.