So it's still a pump, not a filter then? I know forum posts in previous years constantly bemoaned the "pump over filter" mentality of nuke school, but I was getting the impression from more recent posts that NNPP has been tightening things up a bit... 
Yes, the purpose of the NNPP training pipeline is to put qualified operators in the Fleet. (I'm certain that there are operators currently underway that hope to have a Nuclear Detailer that is able to send a new operator to relieve them someday). Since a pump, by definition is a device that adds energy to a system, then yes, for once and for all, it's a pump.
In my experience, some of the people making the "I'm here to screen students out of MY Program" declarations should not ever have been operators themselves. Luckily, many of them were later not promoted to E-7 or O-4, as the case warranted. Again, Darwin always wins...just not always in the timeline you desire.
So, as a NPS or Prototype Instructor, your ADM has sent you a nuclear operations candidate. It's your job to "add energy" and get him ready for the Fleet. By doing so for even the slower of training candidates, you're developing your own skills as a future manager and leader, who can't always just "filter" (i.e., fire) everyone you don't like.
Regardless, I have NEVER heard of someone getting "pumped" all the way to the Fleet and then transferred off their ship/boat in 12 months after being unable to get qualified. It seems that even the most passionate "pump versus filter" debaters do like to get relieved in the end.