A pyrrhic one but they would if they commit a good chunk of their male population and Russia gives them Bering Strait access.
And a couple of cities, americans are butthurt enough to nuke their big urban areas, de factor their manufacturing power, if they keep getting slapped.
But getting rid of claps would de-facto make them able to have no competitor other than India. Russia also doesn't benefit from having China as the head honcho unless they get to keep something big, also guarantees that they will not slap India later.
It depends on Russia in the end.