My 75 years old mother plays bubble shooters, dots & other games of that sort probably as much or more than I play any games - and I'm a game developer.
Like she wouldn't buy a "gaming chair" or any other gamer-branded/oriented merch nor are the games something she talks about much.
To most people the term gamer does not precisely mean "one who plays games." The type of games and immersion in gaming culture are factors that people consider when labeling themselves and others "gamers."