Hello,
I am glad @teaandcake went to Fujifilm. I did the move a while ago buying the X-T20, coming form Nikon and previously Canon and I was blown away. Now I added a X-T3 and I won't probably go anywhere else for the time being.
I've been doing some comparative tests with different software to see how can get the best from the X-Trans sensor, finding myself in a similar situation.
Long story short, I am now down to Camera Raw (which is also in LR) with "Enhance details" .dng photos and Capture One Express (which won't export .dng for business reasons, I think).
If you work a bit with the sharpening on both software you will get exactly the same level of definition. In Camera Raw is under "Edit - Detail", while in Capture One is in "Quick - Sharpening" AND "Details - Sharpening" (so in Capture One you have to work twice). I would start from 0 on both.
Also in Capture One you have to turn down to 0 the Noise Reduction. "Details - Noise Reduction".
Zeroing all these pre-loaded settings, will get you exact results.
In terms of treating the pixel, I find Capture One being slightly (just slightly) better but only if you zoom up to the pixel you will notice it, so in real life this difference won't never be seen.
My conclusion is, between the two tools, use the one you like and feel familiar most, so play with both and set yourself at ease. Helping to choose it's also dependant on your circle of photography friends. I am staying on Camera Raw because everyone I know use Adobe, but I will play a bit with Capture One to see what has to offer.