As someone from the former USSR, I find that hard to imagine. Downright denial that the moon landings even happened, sure, but seeing them as a bad event? Not really likely.

The Soviets launched the first satellite, put the first animal into space, launched the first lunar probe, got the first photographs of the dark side of the moon, put the first human in space, put the first woman in space, put the first craft with more than one crew member into space, did the first spacewalk, sent the first probe to Venus, got the first pictures of another planet, and launched the first space station.

The moon landing was fine and all, a moment of global historic import (and propaganda value, with the US putting their flag on it like they owned the damned thing) but that's still just one victory in a race that was otherwise entirely dominated by the Soviets, and on balance what the Soviets did was of greater scientific merit than anything the US would achieve for years. Americans didn't even care about space until Russia flew Sputnik over their heads.