Good question and this has been talked about a few time here on TBN. The spindles are notoriously low on grease from the factory/dealer when delivered.
What I would suggest anyone to do to make sure there is enough grease in each spindle is to set your deck up on its side so you have access to the top and bottom at the same time. Larry's Mower Axle's are great to accomplish this
Mower Deck Axles,Carrera,Cayman,John Deere,Kubota. Take the blades and protective cups off the mower. Pump grease in each spindle until you see some come out the bottom side. This may take many pumps of your grease gun to get them full the first time. From then on, each time you grease your deck, the excess grease from the spindle will be inside the protective cup and not hurt anything.