Perhaps that makes sense in Germany, but in other parts of the world, the situation is very ambiguous. Sometimes there are obvious cases where the “XYZ Trail” or “Something Road” is a section of the “ABC Long Distance Trail.” Sometimes, there are sections of “ABC Long Distance Trail” that have no other name. Our common cultural understanding of those situations in the United States is that those sections of trails are simply named “ABC Long Distance Trail” and thus we would generally consider it correct that the path ways and the route relation would have a matching name.
A similar debate in the United States extends to roads and road route relations.
There are no clear-cut answers because there is no clear-cut reality. Be very very cautious about trying to apply local or national cultural understandings elsewhere, because they often will clash in different contexts.