Although it depends on the narrative and on what the writer wants, I think one of the reasons the weapon or the "idea of the weapon" is cultivated is partly because of the philosophy(?) and concept it or the user represents. Like for the sword (the standard ones) = chivalry, gentlemanly, being upright, scholarly, etc. Saber = fierce, frank, straightforward, barbaric, rough, etc.
I don't really take this tropes to seriously when reading CN Cultivation novels since they're only relevant for the first 200 out of 3000 chapters.