Intelligence helps dominate - but my assumption is that evolution will fill any niche of available resources. While intelligent organisms consume more per individual, they also replace a lot of smaller organisms who could have done the same.

Thus entropy can only be increased faster, by increasing the available resources -> like digging up fossil fuels.

That said, given "entropy" is a pretty vague term and biology is just insanely complex, I aswell cannot definitivly say intelligence itself doesn't increase entropy. I wouldn't even know how to design a study, so I certainly cannot claim my assumption would be correct.