Will do! I am pretty sure the trails where I hike (mostly Andorra) are just not named is OSM. I thought about trying to update some myself, but there's a lot of overlapping trails, so it would be tough to get right. For example big stretches of the same trail might be both GR-7 and GR-11 and also a local Andorran trail number. I'd rather not do it than do it and get it wrong!
If trails have names in osm.org but names are not present in OM, please let us know, it's a bug.