Phase one have just released a new update for Capture One Pro 9. Version 9.1.1 adds partial support for the Fuji X-Pro 2. As with many of the other converters out there, it only currently supports uncompressed raw files.
I had a quick look at the images based on the samples that I have downloaded, and so far, they look pretty good. I can't really make any proper judgement based on the limited number of samples I have, but if I was to give a first impression, I would say that there is definitely a subtle but visible improvement in the raw handling of X-Pro 2 files in Capture One over Lightroom. In fact of all the converters I've tried it looks about the best.
There is still some false detail visible in some images with a lot of high frequency detail (in this case concrete) but other than that the images are clean, sharp and full of detail. The settings I use for my X-E1 seem to work well for the X-Pro 2 too.
As with my previous posts on this subject, I can't really share any screenshots or images, as the samples I've downloaded are copyright. However, I did have a post where I pointed out where to get samples so you can try them for yourself.