Yeah, that would be nice. However, the additive package that makes the oil behave like a thicker oil when hot breaks down whether the base stock is synthetic or a refined petroleum.
The multi vis additive is made up of long chain molecules that change their length with heat, thus effecting viscosity. Transmission gears and or clutch friction discs chop these up and the result is just the base stock behavior, or the first number in the viscosity rating.
I find that my 550s "tell me" when to change oil by making the trans shift less smoothly and the clutch begins to drag, making the selection of neutral difficult when stopped. This happens sooner in hot weather operation or later in cold, but at about 1200 miles it begins to show undesirable behavior. An oil change makes it all better. I'm using semi-synthetic, now. But, I've tried both petro and full synth. The later I like because it survives and still lubes when over temped. So, for cost reasons, I just use semi synthetic, and let the bike tell me when to change it.