Board Thread:Theories and Speculation/@comment-30355627-20161218164138/@comment-734582-20161226115948

Sasukesaradasakura wrote: And hagoromo actually wants to warned the Indra's descendants not to awaken sharingan before black zetsu altered it, right? So, Kaguya's rinne sharigan-->Hagoromo's sharingan & rinnegan-->Indra's sharingan-->Uchiha's sharingan-->Sasuke's sharingan--.Sasuke's rinnegan I've been checking a few things in the manga. Hagoromo suspected Indra's descendants may try and awaken rinnegan and so left the Statue. But Black Zetsu specifically says he approached both transmigrants. I see no reason to believe Zetsu had incomplete information on this.

So no, Ashura and Indra transmigrants can both awaken Rinnegan. It's just that Indra transmigrants, via their Curse, are more likely to actually try and obtain that power.