The problem with video games compared to other media like film, theater, books or comics is that they are much more heterogeneous than those ones.
Just think about the genres. In film, books, comics genres don't change much about the basic rules how the media works. Yes, of course narrative structures etc. is quite different, but in video games genres mostly define the basic game mechanics of a game.
The genre FPS e.g. only tells me stuff about the camera and controls. But a shooter can be a survival, multiplayer, action, anti-war, fun experience. Just remember how Mark Brown once compared Far Cry 2 with Far Cry 3 and pointed out how those games feel like they were in two different genres.
Anther thing is of course how "gamey" a video game is. I've read a cuple of things about board game design. And one thing they mention is the difference between a "puzzle" and a "game".
Saying that a puzzle once solved is solved for the consumer. If they trie to do it again, their experience won't be the same, because they already solved. While a game like chess for example is a new experience whith every start of the game.
It has defined starting conditions and the interaction within the rules defines how it turns out. But it is always a new experience. Everything reset and nothing solved.
But this definition doesn't work really well for video games, because they have narrative, because they have puzzles, which once solved are solved for the consumer forever, but also have resets which makes the game a new experience with each savegame, with each start. If I think about it this definition doesn't work with every non-video game as well. Just think about D&D e.g. If I think about it tradional role playing games and video games are really comparable in that regard. Because even though role playing game seems to be a genre. It isn't because with every rpg system and within a world you can have different genres of adventures for the players.
Still I would say video game is the right term to use. People just need to open their mind a little bit about the idea what a game can be. The lines are blurry. And to be honest you can define a game just as a interactive safe space for the consumer and it will be fine.