No, passively self-inserting in a game like that is normal. For example creating an avatar of yourself in a game with character customization and player imput in the story, or enjoying a VN that puts you in first person while interacting with characters, etc.
You are confusing that with the faggotry self-insertfags do, "actively" self-inserting, which is just autism. I don't mind them enjoying their entertainment as they want, but their attitude doesn't make sense to me:>Oh look, a random character in a random anime/manga I have no direct interaction with, time for me to pretend to be him and roleplay by myself"
And my favorite:>"What, you are enjoying a romantic story without pretending to be one of the characters? You fucking cuck lol".