According to this answer, some schizophrenics who compulsively play chess a whole lot see everything as chess moves. I looked for an alternate source of that information through a Google search and never found one. Also, I used to be playing The Legend of Zelda Breath of the Wild a whole lot. Maybe many hours a day. After enough time of continuously playing it so often. I felt like I was seeing the real world as part of the game Breath of the Wild game. Of course, playing the game isn't the exact same experience as it would have been if I were out in the Breath of the Wild map in real life. I had been playing breath of the wild so much and so continuously that when I was exploring the real world, it sort of felt like I was exploring an area that looked like that in the game Breath of the Wild. After I did as much as I felt like doing in that game, I never got around to playing it again for over a year. I no longer see the real world that way anymore. Could the experience be something like that for people wo play chess so many hours a day. I don't appear to be able to find a suitable tag. If you think this question is more suited for Psycology & Neuroscience Stack Exchange, can you move this question there as soon as my question limit expires on that website unless I say otherwise before that time?
Quite possible- this would be a special case of the Tetris Effect, as would what you described with your experience with Breath of the Wild.
Anecdotally, someone I knew once played a lot of chess online and experienced similar effects. About 9 hours per day were spent on chess, roughly equally divided between play and study. This person experienced such effects as: They sent a one-word message and became anxious that they blundered since it was "hanging" Noticing two socks were on the floor and immediately thinking "good, they're connected"
They also dreamed about chess, which is almost universal among players that play a lot of chess.
I wouldn't expect this happening to you - 9 hours is a lot, and anecdotally, I've spent a lot of time on chess myself and have yet to see any such effects beyond just dreaming about it. They also mentioned that they had tetris effect tendencies.