Jett Link Skill

Wow, thats pretty good.
I don't mind spending a bit of cash to get the best possible stats, saves me the time. After I hit 120 on my Jett, I won't be using it for anything but a mule for mastery books. And question, is the core linked to my char based on my jetts core? As in if I want to change my core stats, do I have to log onto my Jett, and change them from it? Or is each core different for each character? I could have max stats on my kaiser, but nada on my Jett itself?

Gotta be on jett to cube/extend it, it's the same core on both characters.
This is also part of why I stopped caring, it forced me to get on the jett to extend it.