Satyr Masters: From Abyss is a completely ridiculous toyline with a bunch of silly characters and there isn’t an actual Satyr in the bunch! They are directed connected to Amicable Herculeans and have an even stronger connection to the Galaxy Hole than that line!
I have to imagine, given the context, that either:
The bootleggers thought that “satyr” applied to hybrid monsters in general, in the same way that “Chimera” can mean either the specific monster or any hybrid of two or more creatures.
There may be some folkloric creature in the bootlegger’s culture that is comparable to a satyr but might be, in the bootlegger’s language, that is typically satyr-like but has other variants, and they picked the English equivalent. The Wikipedia page on Satyrs makes reference to creatures called Kiṃnaras from Hindu folklore, which are sometimes man-horse hybrids and are sometimes birds with human heads, for instance.
As wacky as most knockoff names are, you can usually suss out what they’re trying to communicate if you take the vaguest possible definition of a given word that a translation dictionary might associate. Amicable Herculean, which is likely from the same group, sounds ridiculous, but Amicable probably refers to being cooperative (maybe a nod to teamwork) or generally helpful, and Herculean implies might or epicness, and was probably mistaken for a noun.