For the simple fact that bardiche is not a type of glaive. Both are pole weapons / polearms for sure tho.

...And here I thought I was a nerd...

I disagree.

However, I understand your line of reasoning and they are pretty distinct visually, which holds a lot more weight than semantics does. There's also really not much reason to imply glaive over polearm, especially since it's such a niche tag to begin with. Therefore I went ahead and deleted the implication, and implied it directly to polearm instead.