Disney had been using Legacy FX for The Mandolorian so I wouldn't be surprised if they used them for Predator.
Speaking of Star Wars, it's also not uncommon for Disney to outsource other items for the productions to (I guess you could say) fan companies. Walts Trooper Factory was responsible for the Disney era Scout Trooper (though I have no idea where they got the helmet for Rogue One). I hear Far Away Creations also did the TIE fighter pilot though it's not clear to me if they did the modern pilot or if they used the OT version for pilots in the background. R2D2 was at one point done by the R2 builders club and Disney did get the 501rst for The Mandolorian.
Of course they also did some goofy shit like using the Stormtrooper helmets you can get at Target for the spiked helmets on Tattooine and some Stormtrooper suits used in The Mandalorian are from ANOVOS but I would not recommend anyone buy from them (seriously, if you want a Stormtrooper there are better vendors).
Now I don't think Predator has the merchandise to do anything like Filoni and friends did for the spiked stormtrooper helmets but should any Predator vendor be still active I'd imagine they might contact them to help.