Look on the diff next to the inspection/fill cap, cast into the housing it says what to fill it with I think it's Hypoid 80wt(small letters). At least it is cast into my SX diff, and I think the housings are close to the same(but not exactly) and I wouldn't see why honda would cast the oil recommendations in one diff housing but not the other.
I'd flush it and put the correct stuff in, the needle bearing at the end of the pinion and the Main pinion bearing needs fluid not grease, there is no gaurentee that its getting up there. Hopefully everything is good and good luck.
Racerxxx
1985 Honda 125M (My first Trike--Still have it)
1986 Honda 250SX
1981 Honda 110
1982 Honda 110
1986 Yamaha YFM80 (Sons quad)
Past rides: 1983, 1984 200X, 3--1985 Kawasaki T-3
1987 CR-80, 70's vintage XR75, RM 370