Gear transmission grease

I have a Craftsman LT4000 ('92 vintage) and the 6 speed Foote/Dana will occasionally stick from second to third gear. It's nothing serious but can be a little aggrevating. All the linkages and adjustments are set to the manual specs. I was wondering if it's advisable to take the transaxle out and split it to add/change grease or just leave everything as is? What do you fellas think?