I moved to C1 from LR in about 2015. Capture One has a 30-day trial so it may be worth taking a look on your own images. From a Fuji perspective, I have found that on X-Trans sensors, C1 is the clear winner - or maybe the better way to put it is that it is easier to get where I want with where C1 starts me out. For the GFX system, I know that the two companies have worked very closely together on creating the camera and lens profiles. So anyway, a trial is free and you can give it a look. My Phase back also has a variation of the Sony sensor used in the GFX 100/100s and the results are excellent, though there is a "special relationship" between Phase & Capture One, obviously.
For moving over, it's important to remember that C1 and LR have different philosophies and DNA, though their feature set is slowly starting to converge. I find C1 runs rings around LR in things like color management and tethering and personally find the adjustment workflow (via masks and layers) to be more intuitive for how I think. I also find their camera profiles to be top-notch. Building camera profiles can be automated, similar to how Adobe does theirs - meaning built off of a series of raw images and algorithms. C1 does that but also does a lot of actual "manual" work with the cameras themselves in the lab. They'll generally take a little longer to get popular camera profiles out the door than Adobe. Whether you find them better will be up to your own eye, of course. The same with lens profiles - they tend to get the actual lenses in the lab to do the work rather than a mostly autogenerated process. They're excellent, to my eye.
C1 was literally one of the first raw conversion engines with DNA going back to the late 90s and the workflow in the tool was originally focused on studio work and tethering with medium format digital backs. They build their own camera control libraries rather than relying solely on manufacturer APIs which can change or break at any point in time with OS upgrades or other breakpoints.
All of this to say that LR and C1 have different philosophies behind them so don't expect C1 to be a 1-1 match. Moving from LR isn't hard, but you may have to think a little differently. LR is seen as generally superior in catalog management and DAM features, though C1 is continually improving this. Some users find catalogs larger than 30k images may be challenging from a performance perspective, others have much larger catalogs with no problems. C1 has a concept of "Session" which is worth learning about - it's just another way to help manage images. The session concept is from their own history of tethered workflows. Speaking of history, a lot of LR users freak out a bit when they find that C1 doesn't have a history panel. So if you're married to a history panel to do your work, you may find things disconcerting at first.
They're working to add features that migrating LR users have asked for like Pano and multi-shot HDR merging. I suspect that they'll succumb to a history panel of some sort in the future too, though they haven't actually talked about it.
They've done a lot recently with speed edits, masking improvements, image import and catalog performance and localized adjustments with masking brushes. They recently added a "de-haze" convenience function as an ask from LR users. A couple of years back they did a lot of work on their noise engine, though I'd rate it as average and could stand for a bit more work. Their perspective correction is good, though some people find it somewhat challenging to use in certain situations.
Because the UI and workflow philosophies are different between the two applications, I'd recommend if you're considering a move to watch some of the videos on their YouTube channel or at learn.captureone.com. David Grover has produced some truly excellent content. The UI is massively customizable so I really do recommend spending time learning about it.
https://www.youtube.com/c/CaptureOneProDKCheers,
Ray
