My bike started life on a regular diet of dino oil in the tranny. I switched to Mobil 1 15-50 (red cap) about a year ago without any noticeable affects other than the thing was MUCH quieter. After installing an auto-clutch, (keeping the same clutch plates) I used ATF at the recommendation of the manufacturer. So much aluminum was showing up in the fluid, that I could not see through it, even after changing the ATF and running for only an hour. That scared me. I tore everything down and could not find anything that was aluminum wearing enough to justify the copious amounts of flecks I was seeing in the ATF. I changed back to Mobil 1 by flushing out the ATF and filling with Mobil 1 after 15 minutes of riding. (Just enough to warm it up). Now there is no meal flecks and the tranny is a quiet as ever. One other thing: the ATF made mis shifts going from neutral to first, as well as the tranny dropping out of first to neutral under load when used. I sure didn't like that. I realize many here use ATF but it will never go back into my bike after seeing that much metal, that many false first gear shifts, and that much clanking noise from my tranny when used.
Beware of Mobil 1 15-50 and be sure you get the older blend if you plan on using it. It's my understanding that it is reformulated and already on the shelves. Learn to read the codes on the circle lable so you know you are using the correct stuff.
According to Mobil, the latest formulation of the red cap has some friction modifiers but it's probably not enough to cause clutch problems. An alternative may be the yellow cap (Truck and SUV). The yellow cap is very similar in formulation to Mobil's Devlac 1 gas/diesel oil (it's rumored to be the same thing). Most gas/diesel oils work very well with wet clutches because some of the diesel manufacturer ratings such as the Allison C4 are for wet clutch operation. Fleet oils also have generous amounts of anti-wear additives. Delvac 1 works very well in the KDX but it's harder to get than the yellow cap. Delvac 1 and the yellow cap are a 5W40 but have a reputation of being very shear stable, so the 5W part shouldn't be a problem. And when warm, it's actually a little thicker than the Mobil 1 10W40 motorcycle oil. I currently have Delvac 1 in my KDX and shifting is better than with Mobil red cap, Mobil 1 10W40 MC oil or Amsoil 10W40.