42, here's the deal.
Everyone that buys a motorcycle does a certain amount of analysis to determine what would be best for them. Sport bike, cruiser, ADV, etc. You've done the same here and like the NC. The DCT is part of that analysis.
If shifting annoys you and ruins your experience, why, for the love of Pete, would you possibly consider buying a manual shift? Because your friends don't think a DCT is cool? When did their opinions become more important to you than your own? I mean, seriously. Have enough confidence in yourself to look them in the eye when you tell them you love the DCT, you're an adult and made your own decision. If they still disagree, I doubt any of them will offer to pay for a bike for you that they approve of, but ask them to. My brother is one of those 200,000 mile plus riders and he jokingly gave me a bit of crap for buying an automatic, but it stopped as soon as it became obvious I didn't even slightly care about what he thought. I made my own decision and was happy with it.
FWIW, my first bike was a 2015 Kawasaki Versys. Great bike, but like you, I didn't really enjoy shifting (grew to hate it, actually, I have pain in my hands, plus it seemed like a constant chore) and determined the NC750X with the DCT would be just about perfect for me. Guess what? IT IS!! At this point I can't imagine a scenario where I would own a manual shift. I like it that much. I don't think about "managing" the bike, I just ride. For me, it's liberating. When I bought it, I pulled over and emailed the salesman before I was halfway home and told him I was already absolutely thrilled with it. It's not as quick as my Versys, but that doesn't matter when the Versys spent more time in the garage. I ride the NC a whole lot more. That's why you're buying a bike.
As others have already said, unless you point it out, most people will not even notice. So, stop giving a rats butt about what your friends think. I'm sure they'll still let you ride with them, and I'm willing to bet some of them will change their minds if you let them take it for a spin. Go buy the DCT, you won't look back.