Capture One in my opinion has much higher output quality, better defaults, and specifically for supports Phase One backs better than anything else. I have not done a scientific study or anything comparing the outputs (maybe I should!), but it’s just really good at producing gorgeous photos.

Media management though is IMO much worse than Lightroom? No keyword search, the catalog gets extremely slow over 10k images, and no filters for different cameras or lenses, as far as I know. I use peakto instead to manage and search my 40k RAWs then open them for editing only in C1.