Good for you. I personally have not felt anything like that, maybe just excitement or, I dunno, salty? Glad that games can bring you that much enjoyment tho.
I haven't felt any feelings that I belong to that game but I felt excited when I play genshin impact before I sold it. I like how I adventure on my own and I can choose if I will to that kind of task or not. Good thing for you, you experienced it. Waiting for a game where it really fits me, kinda looking for that game tho.
Absolutely true for any game made by Telltale Games especially Wolf Among Us. They knew how to write a good story with branching endings as per your choice and also make a good game out of it. Sad that the company disbanded.
I actually lose track of time whenever I play new run of Skyrim.