The clutch is NOT dry. As for dry sump, the bike just keeps most of its oil in the tank, not in the pan.
So oil DOES make a big difference. I used to use a regular 10-40 oil before and the clutch was ok. I switched to a diesel oil, rotella T 15-40 and shifting got much better. Then went to rotella synth which is still a diesel oil and 5-40 and shifting is awesome. huge change in shifting just with changing oil.
So again, the clutch is a wet clutch.
Another thing to do is if you do pul the clutch apart, you should get the special socket for it. You can adapt one if you want though. Measure the clutch springs, there are 4 of them. If they are different lengths, new spring would be needed. Honda springs work just fine so you do not need barnetts unless you have a high output engine. At this time, you should check the plates. Put them on a completely flat surface and look for warps. If there are warps, then new plates would be in order. Before taking the plates apart, make sure you note the stamped edges and which way they go. If you do need new plates, before putting them in(get honda plates, trust me here)soak them in the oil you are currently using overnight.
The ride IS the adventure. The destination is just to get gas!