They're very similar, but I'd argue the difference between them might be the same as the difference between character sheet and character profile, where the former might (and often does) feature multiple characters, whereas the former focuses on a single character (even if there might be multiple views of that character). It's a subtle difference, but maybe enough to warrant keeping these separate.
Moreover there's nothing in the weapon focus wiki saying that this even need be as focused as a specific profile for or singular focus on a single weapon (like character profile), but rather like, say foot focus, the weapon might just feature prominently in a larger scene with more going on. That would be even further a stretch to joining these tags.