Not sure how A Hat in Time works since I actually don't have the game or a Raphnet Gamecube adapter, but it's highly possible that the adapter is being recognized as Dinput. I'm sure AHIT is using Xinput as it's main source of controller input, so if you want to try and emulate your GC controller to Xinput you should check out x360ce.
That's for sure, I entirely understand that it's just I commented on their post and they didn't replied to my comment but they did to someone that commented after me but it's okay, here's the model imported from the game
And here's the model in UE Viewer
Yes, it is.
The DLC is not on consoles yet, and while it's not yet announced, it has been implied that i's being considered: https://www.reddit.com/r/AHatInTime/comments/99ccph/notice_about_dlc_and_this_subreddit/
Though from your post history, you look like a PC gamer heavily into mods. I'd advise getting the PC version for that. It's only $2 more on GMG, which gives you the key for the Steam version. https://www.greenmangaming.com/games/a-hat-in-time/