As far as leaving the gear (or rotor) in the EXACT position, that cannot be accomplished because you will need to turn the shaft in order to get the cam rubbing block of your new points aligned with the high point of the cam so that you can set the gap.
I originally (beginning in 1973) pulled the dizzy to replace points and condenser and set the point gap, but way back then, I remember having trouble getting the bottom of the dizzy shaft to re-align with the oil pump hex shaft, and accidentally got it one gear tooth off. When I went to start the engine, the carb exploded and I had to take it off to replace the economizer valve. NEVER did that again. Since then, I have serviced the dizzy right where it sits in the engine.
However, I am a small and wirey fellow. I just take the oil bath air cleaner off, crawl up over the engine with my right foot resting on the driver side exhaust manifold and my left foot resting on the top of the water pump. It is fairly comfortable. Just looks awkward, but who cares. It only takes 15 minutes to change points, condenser and set point gap in the car anyway.
I'll agree it is easier to put the dizzy in a workbench vice to service it, but to me, it is more trouble than it's worth taking it out and trying to put it back in again right, when most of the time, the hex shaft won't cooperate.
BTW, either way you do it, don't forget to squirt a little oil in the dizzy shaft bushing fitting on the outside of the dizzy.