Does the word "compromised" in the definition of what a botnet is ring a bell?
While the term "botnet" can be used to refer to any group of bots, such as IRC bots, this word is generally used to refer to a collection of computers (called zombie computers) which have been recruited by running malicious software.
That's the contemporary meaning of the word. It has strong negative connotations.
While it is true that the word "bot" can mean any program from first-person-shooter games AI opponents to harmless IRC bots, these are not used in the context of botnets(1)
and thus irrelevant to our discussion(2)
Unless you want to try a valid argument for a change, I'm done here.
EDIT::a few links worth following:http://www.honeynet.org/papers/bots/http://www.abuse.ch/?p=3294http://arstechnica.com/business/news/2012/03/p2p-botnets-the-bigger-they-come-the-faster-they-fall.ars
(1) you can safely assume your Counterstrike bots won't take over your gaming machine
(2) effectively outside of the scope