Grease is very much like engine oil, every one knows what works or should be used.
In the centrifuge that I used to run before I retired the manufactor recommended Kluber grease and oils, that's what we ran. It was turning at 3000 rpm, the drum ran this speed, about 1500 lb., the main shaft was a 1000 or so lb. and ran a little slower,( this was smaller unit). The amount of grease and oil cost verses what the rebuilding cost made it easy to figure.
Some bearings after lubing/greasing, require a plug or the zerk to be removed and machine ran for a bit to allow extra grease/lube to be pushed out, this limits lube pushing past seals and or over heating.
A case of having a manual and reading it verses no manual, let's use what we got. Sometimes it is hard/impossible to get the needed lube, a cross reference between lube manufacturers can sometimes help. Looking for #2 hydraulic oil for the grinders in other posts, I had a look in cross references, not much, a few outfits never heard of too. Use what can be found, others are using, cross the fingers.