she started with Sonic Pi back in ~ 2020 but i guess she uses other stuff by now
So the recording itself has no copyright attached, but yes, there's still a question of the copyright on the composition.
In this case, it's a music recording published in the USA between 1957 and 1972, so the copyright expires on 15 February 2067: https://library.mi.edu/musiccopyright/duration
There's a limit of 3 years for you to bring a copyright infringement case after a specific infringement takes place, but that doesn't stop you from bringing further cases against further infringements. You don't "lose" copyright if you fail to self-police it, as you might lose a trademark.
It gets very complicated around this specific 1969 sound recording and suing for copyright infringement, because prior to 1972, sound recordings were subject to US state law (presumably Georgia as the Holly Bee Music Co. was incorporated in Atlanta?) rather than federal law.
Ultimately, no samplers paid The Winstons any royalties. https://en.wikipedia.org/wiki/Amen_break#Royalties
The drummer, Gregory Coleman, died homeless and penniless. Some UK DJs raised money for the bandleader, Richard Lewis Spencer, in 2015. He died in 2020. So there's probably not going to be anyone suing you for infringing the copyright on Amen, Brother, but it's not not infringement.
This project has been around for 10+ years and the author dedicated a big part of his life for it, and could not have done so without Patreon support, and to my understanding went through rough times while could easily have gone through a more classic career and make money.
I don't see a lot of projects around that are as interesting as it (I recommend watching old TEDs from Sam on the topic of live-coding for the why), and a commercial approach would have killed it in the first place.
So I'm more on opposite side: the level of dignity required to keep putting energy for 10+ years on a software you believe in, makes it an example to me. If Patreon is the condition for more whytheluckystiff_'s style projects, instead of the ambient slope we see around these days, I'm all for it!
Suggest you drop the Pi name in your next project.