A few thoughts on the differences between LR and C1 as we've experienced it. We moved to C1 5 years ago, though we still have LR expertise and updates as well.
Whether C1 gives you an 'adjusted file' to start with or not is a matter of configuration. You can start with the pure RAW file (standard or linear response) or with the jpeg settings (film simulations etc.) applied. By the way, in my field (fashion and beauty) I don't know anyone who uses the film simulations (either Fuji, Nikon or whatever brand) as a starting point for raw editing. Most of us use a predefined Style that is applied at import. What LR calls Presets, C1 refers to as Styles.
C1 also provides you with the Fuji film simulations to choose from and these are configured in close cooperation with Fujifilm. They're much more similar to the 'official' in-camera film simulations than the LR 'Fuji film simulations', because they don't rely on the generic sliders only. By the way, the digital Fuji in-camera film simulations don't really resemble the analogue film look they're named after. In fact, there are C1 Styles available that have a closer resemblance to the different Fujifilm analogue film looks. So, when you prefer e.g. the Velvia or Astia film look, you might be better off with these specialized Styles.
For tethering C1 is indeed the standard. Together with the Live feature I can tether my shooting sessions and have an art director viewing and rating the images in real time. Even when they're located at the other side of the world. Great feature.
In terms of color management C1 is vastly superior to LR. The color editor is by far the best I know of. It is much more geared to professional use. For example, the sliders in C1 in general have less reach (less extremes) than LR, but are way more controllable.
As for DAM (Digital Asset Management) LR's Catalogue has more options for tagging and searching. The C1 catalogue is a bit more basic, though for many users that's enough. However, most professional photographers that I know, don't use Catalogues, but the C1 Sessions feature. It fits the workflow way better. Unfortunately LR doesn't have that at all. For the best DAM, many professionals use Photo Mechanic as a specialized tool for keeping track of 100k's or even millions of images.
In terms of costs, I think C1 is a bit more expensive if you want to stay up-to-date. Esp. if you also need Photoshop. When we moved to the Apple M1 platforms, we switched to Affinity Photo instead of Photoshop. Our two in-house editors prefer that now, though it is harder to find people with expertise on AP externally (though when you know PS, learning AP is a matter of a few days).
Napier, NZ a few years back.
I had to quickly get my camera when I saw these kids walking home late at night. It look timeless but it was 2017. Not the best crop or the sharpest but at least I got the moment.