I agree that Iridient does an excellent job, but lacks any good set of tools. However I have not found C1 to shine as I feel C1 can't begin to pull the details out of the Fuji files. C1 conversions can improve dramatically if followed by a sharpening tool like Focus Magic or Piccure+ .
Here is link to a detailed image comparison from the X-T1, between LR and C1.
http://photosofarkansas.com/2015/10/27/fuji-x-trans-raw-conversions-which-is-best-lightroom-or-capture-one/
I realize it's a personal pref. but to me C1 can't pull enough out of the files and LR, will easily overdue it by pulling out the stronger lines in the files. On landscapes this can lead to the dreaded painterly look. One thing I have been doing is always capturing a jpg fine image also, with the in camera sharpening set to +1. I then use that as a guide to what I am working towards in the raw.
With LR, I am now keeping the main sharpening slider below 50 and the details slider at around 60 or so. Then I follow up on the file with Piccure+ for the file round. LR's other main advantage is that it will allow for HDR creation, and pano creation. The HDR to me is just what I am looking for. The key to the panorama creation is the image is kept as a dng in LR so you can use all the tools in LR on the image as if the file was a raw file. Of course there will always be the discussion on the merits of dng vs raw, but for me the LR process is a huge benefit and C1 offers nothing like it, which means having to use Ptgui, CC or Kolor to create the panorama later on.
Paul C