There is a badge called "Pollen from Tools" which only affects pollen collectors, so it implies that only pollen collectors are specfically tools. I thought I would rename it to avoid confusion for new people reading the wiki. Also 'pollen collector' is a fan name, right?
Pollen collectors are a fan name, but also an apt categorization for a type of item. "Machines", "transportation", and "gliding tool" are also fan names for things with a shared nature that don't have an explicit categorization in-game. Categorization is important for the purpose of a wiki to group similar things together. Things can belong to multiple categories. Tools can be roughly described as items which require activation to use. This description fits the three types of items named above, and the category of "tool" helps differentiate these items from accessories, which are passively worn items, and items in the inventory, which are all contained within their own menu.
Pollen collectors are the only type of tool which collects pollen, so it makes sense for them to be affected by Pollen From Tools. However, this does not mean that any item which does not collect pollen is not a tool.
Except that they were only categorized as tools in the item navigation box, and nowhere else. There wasn't even a literal category for them (until I made the change, of course), nor were they mentioned on any specific page. I did this to avoid confusion for people actually reading the wiki, especially since it's really only done on one out-of-the-way part. Of course you're the admin here and you can always revert it, but I seriously think this change makes more sense.