Rock, the concours 14 is not a bad mountain bike. fjr is even a bit lighter...
I mean, you wont confuse either with a cbr1000rr, but, if the bags are removed,not half bad.
Great handling, really, but high effort, if that makes sense. It takes work, but the bikes will do it. I adjusted to its size and weight quickly.
I spent the summer of 2011 with the c14 as my only bike before the ninja, and never felt the need for something that handled better. Plus, it started to get much, much better when the riding was 30 miles away.
People toured on old yamaha xs 650 twins. We have it made, nowdays, in comparison.
Since you mentioned two of my favorite bikes I've owned, the Connie C14 and CBR1000RR, I thought I might chime in.
First, the Honda CBR1000RR, although a true sport bike, had decent ergos. I was able to do 400 to 500 miles per day, without feeling like I was going to die by the end of the day. The bike handled great and was quick enough to have fun on. It wasn't as fast as a ZX10, but fast enough for me...
Second, My Concours 14 is the bike I rode the farthest and longest. On stuporslab, I could EASILY do a thousand miles per day. But I think the BEST ride I did was Turlock, CA to Half Moon Bay, to Santa Barbara AND BACK! I took the scenic route, HWY 1, all the way down, and 101 to 198 on the way back. All told, it was only 850 miles or so, but I completed the round trip in 18 hours. The longest amount of time I've ever spent in one day. And as @rcannon409
writes, the bike handled "good enough" and was definitely quite comfy.
Now, I'm on a 2015 ZX1000 ABS. It will become my touring bike. My first impression was that the bike was geared too low for touring, but after spending some time on it, I've gotten used to having it spun-up to 5 or 6 grand for extended periods. It feels wrong, but the bike doesn't complain. I'm now fitting the bike with Givi V35, hard bags and, probably heated grips. Then, it'll be time for some long rides. I'll let y'all know how that goes...