I've owned both. 100% Augusta sneakers for me, for several reasons.
1) the CCP are way too 'statement' for me. I loved 'owning' them but I found when I wanted to wear sneakers i'd reach for my Augusta sneaks, and when I wanted boots, I'd reach for workboots or tornadoes.
The dipped sole was just too much for me. It took the sneaks to a level that was 'too' edgey.
2) I don't mind paying serious $$$ for something that will last for years. Yes the Augusta sneakers are expensive, but I will get them vibramed so the soles are never damaged, and they will last for years in generally perfect condition.
The soles on the CCP wear down and are pretty much not replaceable. Plus the rubber drip eventually peels away from the leather sides and looses its colour. So IMO there is a very finite life time to the sneaks before they pretty much look completely fucked. I have a problem with that, considering the cost.
So Augusta sneaks win hands down for me.
Just my opinion.