This does look quite interesting, I became a fan of 3D platformer "collect-a-thons" after the 32-Bit era while developers figured out what worked, what didn't, etc. I still enjoy a lot of 3D platformers from that time, but thanks to hindsight, I know to avoid games like Bubsy 3D (anyone that lived through 32-Bit knows what I mean).
Is A Hat in Time available on Steam or GoG.com?
Edit - Found it on Steam for about $30.
RE: A Hat In Time gameplay and first impressions