The biggest issue with not having an id-lookup possibility is that you can’t store a valid reference to a Twitch game, because the game’s title can change at any point - as has happened several times.
If you use the id as a reference, it becomes worthless on a title change, since you can’t use it to look up the title.
If you use the title, it becomes worthless on a title change, since it’s no longer referenced in Twitch’s game library.
Only way to do it is to keep a local copy of Twitch’s entire game library, and keep it up-to-date. That’s a lot of work for something that should be so simple!