Dennis 680.34 is for storable pools
I know it is for storable pools. I have to assume that is what the OP has but we don't know for sure. This is why I asked if 680.34 trumped 680.22
IF it were a storable pool.
My point here is that section III does not mention pump receptacles it simple states receptacles. When I read receptacles I take it to mean all receptacles whether it be 240v, 120v, twist lock, etc.
First question is this a storable pool? The OP mentions plugging a cord into a recep. This seems appears to communicate that it might be a storable pool.
I agree with you that your interpretation makes sense but I don't see the words in the code to support it. The only mention of recep. is 680.34 other than 680.32 which calls for GFCI protection.
They should have never put art. 680.34 as it adds nothing to what art. 680.22 has stated other than to confuse things. 680.30 says to use Parts I and II. 680.34 does not mention what the outlet is to be used for it just states receptacles. This is why I say this article overrules anything in section II