Technically, some of us DO know what they recommend, and have shared it across several posts. But they don't get very SPECIFIC, they say "this will work just fine", then show a pic of Super Lube. But... WHICH Super Lube? There are many.
After doing a binch of searching, and seeing all kinds of greases used by many, I have come to the conclusion that ANY NSF H1 grease will work, whether it be silicone (synthetic) or plant oil (bio) based. Anything except petroleum.
This is the pic sent to me by a GX rep (personally, I want to avoid any grease with PTFE in it, but that may just be me):
View attachment 447966 And this is the grease I bought to compare/validate against:
https://www.amazon.com/dp/B09M91VXTF?psc=1&smid=A3J5NRMG7P7P87 It is white in color, not translucent as the original grease in the pot, but it is NSF H1 rated, NLGI 1 viscosity, and will work just fine, and is easily sourceble, at least in the US.
The main goal of the cylinder grease is to keep the rubber supple and to seal any tiny voids. Silicone would do this best, but it is MY OPINION (and only mine; have not heard this from GX nor Omega) that true silicone grease may be too thick to travel between the three cylinders readily, thereby "starving" the third piston. Just a guess though.
Also, a GX rep has told me that after going thru the grease pot in about a year, no further greasing may be needed. I won't know until I finish my pot o' grease, run for a while, and then tear down the piston again. Get back to me in 18 months on that!