What you were supposed to do with the grease after applying it, was to look in the hyd tank when you started the tractor and see if you can see any bubbles in the tank.
The grease is to help seal any leaks that may be present. If the grease successfully seals the leak, then you know where to look.
With the grease smeared all over the suction tube, and fittings, did you see any bubbles.
The pump shaft seal can also leak, and since it maybe a suction leak, you will not see the leak except for air bubbles in the tank.
The air en-trained fluid will cause diminished operation of everything that uses the fluid.