Well to be useful, we'd need a better definition than the
dictionary one. That would include picking your nose or tying your shoes as a game, if you enjoyed it.
At issue here is that we're effectively experts on playing games. Experts of any field discover the need for more precise definitions for words. Often they invent their own words, and often (such as in sociology or psychology) they just apply more specific definitions to common words.
I understand as much as anyone how irritating and confusing that is.
But we can't really talk about games, except superficially, without more definite terminology.
Unfortunately, in the whole gaming community, we have people who barely understand how to use English trying to help define our shared technical terminology. Needless to say, this makes things difficult.
We also have people who are trying to push an agenda, such as selling a new game, and frame the language used to promote it (or their favorite genre) regardless of its validity for the whole expert conversation. This is just people putting their own petty desires above the need of the community for useful terminology.
And then we have people who just speak from the gut, without worrying about the implications of their suggested terminology. Less grievous than the above, but still a problem when this is a large portion of the conversation. I'd also include people who are not actually game-playing experts but who believe they are.
Of course in this case it seems we just had a disagreement on categorization. Differing desires.