I would say the most common use of 12 leads is to get 3 phase dual voltage motor with the capability of wye/delta starting. Most common 3 phase dual voltage motors in US that I have seen are 9 external leads with wye made up of 10,11,12 internally. (208,230/460 V ac) No way to connect for a delta with that, but if you bring them out, then you can do parallel or series, wye or delta. 6 leads works for wye/delta, but is dual voltage only with voltages V1=V2(1.732), not V1=V2(2)
I doubt anyone would commonly bring out leads for one pole separately from its opposite. I believe it is useless if it is connected incorrectly unless maybe you are wanting to make a consequent pole motor to run 1/2 speed.
Jim