Why would you be spooling off the wire? If your not splicing in the manhole there would be no reason to not to pull through.
There could be an instance where you would pull in/out of each manhole if you weren't splicing?
If I am not doing a straight through pull, the reels would likely be set up at the middle manhole, and the conductors pulled to one end, then the wire would be spooled off and fed in the other direction. However each case is different, and the pull layout would be set up by the electricians doing the pull. There may be cases where you would feed in the first manhole, pull the conductors out at the second manhole, and then feed them back in to pull to the third.
As far as pulling thought or not, it depends on the duct configuration in the manholes, that is straight or 90s, the pulling equipment you have available and the results of the wire pulling calculation. The most common mistake is that the pulling sheaves for a 90° pull have a diameter that is too small resulting in excessive sidewall pressure and possible damage to the conductor insulation.