Long story abridged:

Me and [ML] have been together in a sex/affective relationship for a year and a few months. Last October they asked me to start a committed relationship and we lived together until mid-January 2023. At that time I moved to a different country and they moved to another one, so since we will be far away they preferred to leave me and change our Committed Relationship to Lovers status.

[ML] say that we are not going to have a relationship again, but we keep talking to each other, and liking each other, we plan to see each other in May, and in June we are going to a concert together and in short, in my perspective, we continue to have a relationship, only at a distance. But in their case is different.

for they, since we don't have something real in the present time (that is, being together in the same place at the same time) this would not be a relationship and because of that, we can't commit again.

Anyway, I think [ML] is a loser and is confused, but I leave the debate open to Manifold.

Also, maybe there are also different options that I have not considered :)