This happens all the time to me with a lot of games. Usually it's audio things, like a common sound effect in the game I'll imagine I heard. Most recently when I marathoned every Metal Gear game I started hearing the alert sound all the time.
The most dangerous one was when I was playing GT5 obsessively and I would have the strongest urge to drift on corners.
I had to stop playing Pikmin back in the day because when I would try to fall asleep afterwards I would fall into a half-asleep state where I started worrying about the Pikmin not being in their ships at time, and would suddenly lurch up and look in the general direction of the floor in front of my TV to check. It was... something, lol
I had this happen to me as well. It was neat at first how my brain was drawing lines through everything to solve imaginary puzzles, but it got to a point where it was pretty distracting and made it hard for me to focus on things.
Metal Gear. I used to actually have to sneak into my girlfriend's house as a teen. Literally hiding in closets, and causing distractions to move out in the open and into the next room.
I can play so much pokemon at times I imagine I can go outside and battle pokemon and my PC is where I store my items and pokemon rather than what it actually does.
Metal Gear Solid V. This game has the biggest playtime in my Steam account, I just keep getting back to it. I wish Konami worked on new missions for MGS V instead of making that zombie survival spin-off.
Mostly the games where I devoted insane amounts of time playing them.
Unreal Tournament had that effect. Where in half asleep state still imagined playing the game, analyzing it. Or Lineage 2. Which had tremendous effect on the way I've communicated with my friend (who played with me) in real life. To the point where no one could understand what the hell we're talking about (at work, and at parties etc).
Didn't happen with TF2 though. But i think it's just the different mindset i had at that time. It didn't matter to me as much to be as good, as competitive as two previous examples. When you grow older there's so many shit you have to worry about other than games. While as a teenager you can focus entirely on a game. Which i assume why this Tetris Effect happens. Didn't know it was called that though.