Sorry but it does not make sense. First Asura was not Jin. Secondly Asura awaking his own power by suffering and hard training.
If the Sage gave Asura his power, Asura would have the Rinnegan, but he has not it.
No he wouldn't. The sage also gave naruto his power and it wasn't a rinnegan.
I posted scans that I think prove my point. Let's see your proof.
It infact does say the sage divided the power of the ten tails. Making kyuubi the strongest and hachibi the weakest. Also it implies that th Sage watched his Sons grow up first and watched their power mature before deciding he would have Ashura be his successor on his deathbed, which is when he split the tailed beast because it would have gotten out of control and came back to life as noone else was strong enough to contain it. Ashura grew to mature his power like Indra, it's within their blood, they don't need the tailed beast. The beast were free to roam. Gotta look at the timeline.
Notice how Indra's susanoo is far bigger. Why is Sasuke's so small?
You are so stupid if you think that ashura could have his own avatar without the kyuubi even though it looks exactly like the kyuubi jinchuurikis avatar. You sir are a moron. If he did have an avatar it wouldn't be in the shape of a fox you dimwit