What do you mean if? Whether the EU negotiates an agreement, acts unilaterally, or sticks their heads in the sand has no impact on whether draft dodging hurts Russia’s ability to carry out the war.
More people of fighting age fleeing Russia and Ukraine makes it harder for their governments to send more to their deaths and puts further pressure for peace negotiations.
Or are your negotiations and bureaucracy more important than the Russian and Ukrainian lives Hungary saved by taking people out of the war?