Just my humble opinion of course, but I'd like to answer your question with a question of my own. When was the last time you got better results using a "one size fits all" product instead of products specifically designed or formulated for a specific use? Yup, that's what I thought.
Using one product in all 3 holes is strictly a convenience thing, and needs to be viewed that way. Yes, you can use the same product (SYN-3, Amsoil, Mobil-1, and any others that are supposedly formulated for use in all 3) without fear of drastically shortening the life of your bike. On the other hand, you will likely find that using real gear oils in the trans will result in noticeable improvements in operation (noise levels, shifting efforts, etc.). The primary is the least critical area in terms of lubrication, but the wet clutch requires an oil that is specifically formulated to work properly with a wet clutch. I figure you can't go wrong there if you use a good automotive automatic trans fluid, since those products are specifically formulated to work well with wet clutches.
Mobil-1 V-Twin 20w50, Redline Shockproof Heavy, Mobil-1 Synthetic Auto Trans Fluid
Jerry