That's not really a meaningful distinction especially in an article meant for a popular audience. Besides:
A bot (derived from 'robot') is an automated or semi-automated tool that carries out repetitive and mundane tasks in order to maintain the 4,009,598 articles of the English Wikipedia.
Internet bots, also known as web robots, WWW robots or simply bots, are software applications that run automated tasks over the Internet. Typically, bots perform tasks that are both simple and structurally repetitive, at a much higher rate than would be possible for a human alone.
I agree they're all bot-ish, but in the context of Wikipedia, I think it's useful to distinguish. Possibly not for the audience of the original article, but they do pretty different things.
Heuristic reactive bots are an interesting component of the human/machine hybrid "Wikipedia immune system" that keeps most encyclopedia articles non-vandalized most of the time, despite that seeming implausible at first (the most surprising thing about Wikipedia, if you've ever run any other wiki, is that it doesn't get totally full of spam and garbage within hours).
Others are more like content-import scripts, running once; Rambot falls into that category. And still others are closer to external implementations of functionality that MediaWiki is missing internally. For example, MediaWiki lacks a "rename category" function, so there are helper bots that will "rename" categories by mass-removing every article in the category and mass-adding it to the new category.
Umm, no, someone wrote a script and ran it. This article massively overestimates what a "bot" is.