I'll bet all of those newer 0-20W or 0-30W oils are automotive spec formulated for the newer cars for milage reasons and because a lot of newer motors have some type of variable valve timing system that uses the oil for hydraulic control. Therefore it makes sense that they are not recommended. The Amsoil 0-40W has been around awhile and is not speced as an automotive oil.
The point of the Rotella syn 5-40W is not that its a synthetic, but that it has a viscosity low enough for good clutch action when cold, and good shifting when hot, in a non-automotive oil (no friction modifiers). In a 2stroke, we all dump the oil long before its worn out, as it fouls with debris first.