There is zero chance the war would take more than a slight pause before resuming in full force with a less-capable Ukraine if Ukraine’s allies promised to stop supplying it with weapons. (The Russo-Georgian War, immediately, and with a slight delay because of temporarily Russia-favorable political conditions that emerged in the interim in Ukraine, the Russo-Ukrainian War are both direct results, in fact, of that kind of accommodationist thought winning the day at the 2008 NATO summit with regard to Russia’s demand at the time that Georgia and Ukraine not have Membership Action Plans extended to them. Fool me once…)
There’s a very good chance that Russia will stop if that does not happen, even if it is unlikely that the current leadership would do so.
Ultimately it's up to the Ukrainians what terms they want to negotiate. But it would seem foolish to give up the option of joining NATO and the EU just to gain a temporary peace. If they're going to survive as an independent country rather than a Russian vassal state then they will need alliances with nuclear powers.
This narrative is being strongly pushed in various social media by Russian troll farms.
That would only serve as an opportunity for Russia to regroup, build up the war machine, and attack again, possibly not just Ukraine.
It could also serve as an opportunity for Ukraine to do the same in reverse -- ultimately leading to a Russian withdraw (many years later but with many lives spared also).
OTOH, a continuation of the status quo (assuming the political climate in Western countries permits the Ukrainians to do so, which is in itself a highly dodgy proposition) is not at all guaranteed to end in Ukraine's interest, and brings certain obvious tail risks to the rest of the world as well.
Ultimately it's a matter for the Ukrainians to decide. My only point is that it's perfectly possible to discuss different options for achieving the same desired end result (which it seems we agree on) -- without having to label these as being in favor of Russian "peace narratives".
That would be nice, but what are the chances of that happening in your opinion without the US and Europe's promising that Ukraine will never become a member of NATO and the US and Europe's promising to stop supplying weapons to Ukraine?