As long as Russia is advancing on the battlefield, able to sustain the war, and believes time is on its side, Moscow is unlikely to feel any sense of urgency to sign a peace deal unless it is very unfavorable for Ukraine, which Kyiv probably would not accept right now. I'm skeptical that Moscow would accept the terms of the initial 28-point plan or the European counterproposal.
I suspect Putin would not accept the plan as stated, particularly as Russian forces are still advancing on the battlefield. He will likely continue to demand greater cuts to the Ukrainian military and deep strike capabilities.