What's wrong with teaching primary students? Seems like a good gig.
I'm just curious, in your squadron are you ever looked down upon for being an NFO? I've talked to pilots going through API who pretty much laughed at the NFOs.
Nothing is wrong with teaching primary students. But as an NFO, you likely won't do it and there will be a far wider range of jobs available to you. In recent years, pilots who have been primary instructors have gotten hosed in the O-4 boards. Maybe (hopefully) that will change in the future.
I understand your curiosity, but in this line of work you need to learn to only care about the opinions of people who matter. In this case, the Navy's opinion is the one that matters. They pay you pretty well and and NFOs are well-represented in the upper echelons of the Navy. ADM Fallon was PACOM and CENTCOM. ADM Harris is currently PACOM.
Bottom line: being an NFO can take you wherever you want to go in the Navy, and you'll probably have a damn good time getting there. You will not, though, ever take your life into your own hands like pilots do. I have no regrets, but knowing what I know now, if I had had perfect eyesight at 22, I would choose pilot.