Let me first note that English is my second language, so it might very well be that I miss things, and quite possible I'm unaware about or misses fine connotations.
First, I've never seen that interpretation of "prefer", and when I check the (quite limited) dictionaries and concordances I have access to right now I can't see it there either.
Second, even if that interpretation is valid in modern English, it will still add another level of interpretation to the trope name and description before we get to the meaning of the trope.
Third, even if we assume the interpretation is correct and understandable, then the trope would become the following chain of symbolic logic: Heroes wants the best; Swords are the best weapons: Heroes wants to use swords.
And swords are the best weapons wouldn't have anything to do with heroism, but more with Katanas Are Just Better
, but applied to swords in general.
(I've also noted that every time I make an argument that seems to me well-reasoned and cogent in this thread in preference for Swords Are Heroic
, tropers will vote that down and Heroes Prefer Swords
up, so maybe I'd better shut up now.