Sure. You are talking the U.S. doing this right?
The moment U.S. installs nuke in Ukraine or Poland is the moment a few dozen Russian ICBMs each with 10 10-megaton warhead fly over your 100 favorite U.S. cities. 
The moment the U.S. install nuke in S. Korea or Taiwan is the moment a few dozens Chinese ICMBs each with 10 5-megaton warhead fly over your 50 favorite western U.S. cities. 
My point: Chinese ICMBs are not as fancy and powerful as Russians. But citizens of the 100 U.S. cities won't find out. Or any American will find out. See, when the dusts and nuclear winter settles, there will be no people left in the U.S. while Russia will have about 100 million left in its vast land. China will have about 1.2 billion people left, a mere 200 million will be wiped out. China will then send a 100 million people to the empty land of America to take it over and rebuild. What will they call it. Cathay America? I think that's what Christopher Columbus was looking for - Cathay.