A larger pipe size slows the velocity and cools the exhaust. The condensation temperature for creosote is 250f. You can burn wet wood, all the wet wood you want, and use a larger pipe size, but the exhaust needs to stay above that temp. A larger flue dia will make it harder to do that (and not draft as well). Wet wood makes it harder to do that. I have a wood stove, with the recommended 6" flue. I had creosote dripping out the back of the stove twice, in 17yrs. Both times early on I decided to start the stove slowly. Long and slow with a cold pipe meant dripping creosote. I put in a 200-1000f thermometer to measure stack temperature. That corrected the problem right there. Get the temps up as quickly as possible, and keep them there.
If it were me, and I got a new to me stove, I would pull whatever doesn't meet installation specs and make it right, top to bottom, all of it. There is a fire in my home. I would be an absolute jerk about making it right. Just my opinion..