Seems rather convenient as a setup for romance, but hey this is fiction. Besides, Apex Legends actually has a not insignificant female playerbase in Japan. There are even female singers, actresses, voice actresses, idols and cosplayers who play this game, let alone streamers and vtubers. I've seen a 50-something mother of a streamer regularly play it.
Anyway I think I've lost track of how many times I've seen Apex referenced in manga (it's in Kaguya-sama, even). It's crazy just how popular that game is in Japan. (or used to, until EA dropped the ball so hard that CR Cup for Apex stopped happening...)