I have always equated the phrase "that bike has character" to mean that it is either more visually appealing than other bikes, or riding it is a more visceral experience than other bikes.
It didn't specifically mean that the bike was unreliable, but there was a very high correlation between bikes with character and bad reliability.
I've always thought of it that way as well. Not necessarily more unreliable, but the bike often characterized as having "character" was most often the one with reliability problems. Theer are exceptions of course.
With regards to the NC 750X DCT (or any DCT bike for that matter) I don't think you can ride a DCT bike once and appreciate it, because it is not "normal". It generally doesn't shift when you are used to shifting. Live with one for awhile though, and you will come to recognize the brilliance of it. I've been riding 59 years, about 850,000 miles, on 3 speeds, 4 speeds, 5 speeds, 6 speeds, tank shift, hand twist shift, foot shift right side, foot shift left side, and for me, once I got a DCT and just let the DCT shift when it wanted to, instead of when I wanted it to, I still went the same speeds, on the same roads as when I was manually shifting the bike, just maybe not at the same rpms, but I was still going 45 in a 45 or 65 in a 65, riding just as fast as on a manual shift bike, but was able to concentrate on lines rather than at what rpms I wanted to shift at, and the mechanics of actually doing the shifting with my hand and foot. When I am riding my manual shift 6 speed CB 1100, I often think of how nice that bike would be with a DCT trans now that I have gotten used to riding a DCT equipped bike. Besides if you just have to shift at certain rpms, you can always put it in manual mode and just toggle the upshift and downshift buttons.
Now many of the manufacturers are coming up with their own auto trans systems, Yamaha, KTM, BMW, and I'm sure the rest (except maybe Harley and Indian) will probably come up with an auto shift system as well