For how short it was around, there's probably an outsized amount of stories about the Hut that can be told. There are people that to this day would swear the vert ramp was 14' high (I think it was only 12' yet it seemed massive.) It was in one of the worst neighborhoods in Providence...a lawless area that was basically perfect for a park like this.
This was an interesting era for northeast parks. Off the top of my head, there was the one in Newburgh, (that everyone knows from the Cardiel 540,) CT Bike Exchange in Bristol, CT, The Playground, ZT Maximus in Cambridge, MA, Ratz up in Maine, Zero Gravity in Nashua, NH, and I think Cutting Edge in Bennington, VT and 8 Ball in Bellingham, MA as well. Oh, and New Wave in Laconia, NH (I think that started in 1992?)
Providence was really coming into its own around 1990. A handful of great places to see bands, the Thayer Street scene (which was up near the Brown/RISD campuses) had good record stores and a skate shop, and decent street skating.
The Hut was localized by some of the area's heaviest guys...the Flite guys (Metal Man, Jeff Thompson, and all the guys from the Newport-ish area,) this dude Bruce "Juice" who was great (reminded me of Gonz at times,) John "Carwash" Kardash, the kids that Sid from Water Brothers would bring up there on Friday nights, this guy Chicken Hawk who was seriously one of the biggest "might've beens" in skating, and then all these other people who would roll through every so often. Probably the best guy was Andy Macdonald, pre yellow helmet. They called him "wonder boy" or some variation on that. He would come in in street clothes, like jeans for khaki pants, LL Bean anorak, no pads, no helmet, take a few runs and destroy the place...and then just dip, leaving everyone speechless, shaking their heads.
One of my best memories (and I don't think I'm alone in this,) is of the Planet Earth demo in 1991. This was probably the moment everything really changed for a lot of skaters in the area...it was the dividing line between what vert had been and where it was going. Miller was on fire until he sprained his hand. Ken Park (at least I think it was Ken Park,) was doing all kinds of bizzare nollie/Chinese ollie tricks, and Buster Halterman just laid waste to the place. He was absolutely unreal...face high backside airs to hangup, tech stuff, power stuff, he did it all and looked soooooo good doing it. I have a few photos from that night (my friend and I did zines back then and we interviewed Chris and Buster.) It was really interesting to watch guys you used to think were "the best" after that point.
The guy to track down for trustworthy dates/details would be Jim "Murph" Murphy (oddly, not the "Alva Jim Murphy".) Murph was Fred's business partner in the park and I think had something to do (owned? ran?) with the shop up on Thayer called "Peck's Bad Boy." Gunars Elmuts (maybe that's the pic from Insta you posted? I can't see it,) has amazing photos from the place—and is probably a very trustworthy source for dates as well.