Keep hearing the word "self-insert" here on the forum. Usually as an insult.
Do you guys even know what that means? Apparently not!
You must be registered to see the links
"Self-insertion is a literary device in which the author writes themselves into the story under the guise of, or from the perspective of, a fictional character. The character, overtly or otherwise, behaves like, has the personality of, and may even be described as physically resembling the author of the work."
Playing a game in the first person role of the protagonist has absolutely nothing to do with this. Quite frankly, this is the intended way to play a game, to be the main character for the duration of the game. This also goes along with the "suspension of disbelief" which is the basic requirement to enjoy and mentally participate in any form of fictional media.
People unable to do this may actually suffer from some sort of autism or otherwise be incapable of the required human empathy for a roleplay, perhaps that's something to think about.