Does doctrine matter in this series?

[Trac_511]

I've never looked into any WW2 nation's doctrine but does it even matter at this scale? Just wondering because I have never played NATO, WP, Allies, nor Axis any differently in any title of this series. Of course, varying unit abilities and environmental conditions affect play, otherwise for me it's just been moving counters as smartly as possible and keeping all formations nice and neat.