Heyya, I am new to speedrunning and I wanted to give genshin a go, I noticed that somehow my livesplit timer doesn't stop when the game is loading. Is that something I can fix later on? Is there a fix to it e.g. an updated script or similiar?

If you were using the one provided by LiveSplit by filling in the game name in edit split section then yes, this one is outdated. You can find an up-to-date backup in the GI speedrunning discord server.