Mentsch1: My comment above was directed to the original poster (“1”), not you.
“Did Rav Nachman actually say that it would be beneficial to leave EY to come to his kever?”
Not specifically, but he taught in Likutei Moharan that a tzaddik’s kever “literally” has the kedushah of Eretz Yisrael. (I can find the reference for you if you want to see it inside.) For that reason, Breslov manhigim have approved traveling from EY to Uman, since it’s is in effect going from EY to EY. That doesn’t mean every Israeli should come–but certainly Breslovers should have no qualms in doing so, assuming their rabbonim and family are supportive.
“Did he even say just come to my kever for RH?”
Yes, absolutely. See Tzaddik #406. We don’t have a direct quote from Rebbe Nachman, but Reb Noson writes that Rebbe Nachman made clear he wanted his followers to come to Uman for RH no matter what (which they began doing the first RH after his petirah).