I'm no expect on HSC, but every time I talk to someone from there it sounds as if there's another mission. You can't help but get less good at everything else every time you add another mission on the plate, assuming training flight time remains constant. You want to get better at TERF, you have to TERF. If you want to be a good shooter, you shoot. You want to be good at SAR, you practice SAR. Having many different capabilities is great--you can be a Gerber MultiTool, but that Gerber isn't as good as a real toolbox. Nothing wrong with either approach, but each one has trade-offs. As for NSW, if you want to have that be a core skill set, then that has to be the thrust of a unit's training.
HSC has replaced HS as the jack-of-all-trades, master of none!!