Man, have you set up a trap for yourself with this, Ulmita. I was lucky to check these forums today to see this blunder:
Answer: as a person from (de jure) eastern Ukraine, I not just "believe", I know with 100% certainty that people here did not have any trouble whatsoever from those imaginary east Ukrainian "right wing elements". Not here, absolutely not.
The sort of opposite, in a super mild form, was kind of true: if you were a Ukrainian speaker in Donetsk, you were seen as "not ours" and would not get very far in our society (remember, we were the wealthy ones, not the westerners). But there was no actual animosity, marriages between "us" and "banderites" as people here semi-jokingly called them then, happened all the time; from my personal circle of acquaintances two people married western Ukrainians and moved there.
So yes, Putin, or someone in his employ, came up with these lies about "bad bad time".