Remote terminals for battery jumping need to be very heavy gauge wire, like battery cable wire, (hint, hint). As FredW said, you're only going to melt stuff if you try to do a traditional jump start through a socket or aux. fuse block. That much power through small gauge wires makes a lot of heat. You can back charge the battery through small gauge wire though. And for your bike's sake, use an inline fuse!!!
Switched power means it's on with the key. Un-switched power means it's on all the time. It should be obvious that you need to have an un-switched power port or circuit to back charge the bike through if you want to do this. And no, the cig port in the glove box won't work for this, it's switched, and very lightly fused.
There are remote terminals designed for direct connection to the battery. RV places usually carry them. Seems like I saw some on a Alaska bound bike once, (not a FJR).
I've bump started the FJR. I've also jump started it from the cage. (12v is 12v, don't believe otherwise. The bike will only draw what it needs.) I think there is a minimum voltage required to fire the injectors, but don't know what that is. If it's stone dead, you probably need to trickle charge the battery some before attempting a bump start.