I gave Capture One Pro a try due to this comment. There are definitely things to like about it. It is much faster than DxO at everything I tried and appears to include some very convenient features, like an effect clipboard that makes it easy to pick and choose which alterations should be copied between images instead of being forced to use the all-or-nothing approach of DxO's "Copy Correction Settings" / "Apply Correction Settings".

However, IMO DxO's output is leaps and bounds better. I'm sure it's due to the profile of the image, and specifically DxO's PRIME noise filtering since this was a handheld shot at nighttime, meaning high ISO (3200). The noise filtering from DxO is hugely superior to that from Capture One. Without PRIME (i.e., marking "high quality" noise filtration instead of PRIME), the noise filtering is at least in the same ballpark, but DxO maintains a very sizable lead with far less color damage. I did try to set the filtering configuration settings to similar quantities, though the options are a little different in each program.

I may make a blog post with images on this subject soon.