CBDunkerson
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Also note that, later in the feat chain, Spear Dancing Reach allows one or both ends of the weapon to be designated as reach weapons for one turn as a swift action. So it wouldn't make much sense to be able to get reach as a free action with two fewer feats.
PS: From Style Feats;
"As a swift action, you can enter the stance employed by the fighting style a style feat embodies. Although you cannot use a style feat before combat begins, the style you are in persists until you spend a swift action to switch to a different combat style."
Presumably, that would include switching to 'no style'. So it'd be a swift action before or after your attack(s) for the round... so you could have either reach or spear-dancing double weapon for any given turn, but not both.