What is more accurate , the fozgometer or the diplay of the oscilloscoop

Azimuth adjustment makes very little difference to channel balance.  Azimuth adjustment is done to minimize crosstalk.  In so doing, one can target ether of two goals: (1) Equal crosstalk, L to R and R to L, or (2) Minimal crosstalk without regard to whether the db of crosstalk is equal, L to R and R to L.  Both goals are valid.  But you can almost never achieve both of these possible goals at the same time with the same cartridge.

From your verbal description, I am not sure what it is you were measuring, output from each channel or crosstalk.

You can do a quick visual check first by dropping the stylus on a mirror. The mirror doubles the visible angle, making it easier to see with the naked eye. I would still recommend that you go further than a physical inspection. Sometimes the stylus isn't mounted exactly perpendicular to the top of the cart body. You can't see that when you do a visual inspection.

You really don't need the fozgometer or a scope to set azimuth. A DMM will work just as well. But is has to be a really good one like a Fluke. If you do use a scope, keep in mind that they vary in quality. If you're not sure how good your scope is, trust the fozgometer or the DMM. 

Also, if you don't have an azimuth adjustment, just leave it alone. Shimming the cart can do more harm than good.

If you use the mirror method you should get a mirror that is surface silvered like that from a 35 mm  slr camera, or your image will be way off.  The foz always works for me but a new battery should be used every time. I agree re: shimming the cartridge...much too crude adjustments for tilt, and cartidge will not be mounted solidly enough.

Neither........Do the adjustment by ear!

http://www.whatsbestforum.com/showthread.php?9097-Azimuth-adjustment-the-easy-way