This picture tells why greasing a driveshaft may or may not work (I would paste the pic in there but I am on an iPad and can't figure out how to do it):
http://www.raceindustry.com/part-showcase/tom-woods-custom-drive-shafts/6620-double-cardan-cv-drive-shaft.html
If the shaft is not collapsed fully, you could waste 1/2 tube of grease by pumping into the empty cavern at the end and not get it all the way toward the seal where the splines meet the grease seal. I just pulled mine loose (to get a better view which took 20 minutes....4 bolts on each end) and then cleaned it and lubed it by hand with Royal Purple grease (doesn't have to be that brand). Might as well grease up the unjoints while you are there. Worst case, it will prepare you to replace the shaft $300 from Sewell (with member discount). Best case, it fixes it like mine and you grease it annually. Mike