I made a mistake in my last post. It appears FCP 10.8.1 behaves like 11.0, and in my tests, there is no difference between Sonoma and Sequoia in handling ProRes RAW in an HDR library and HLG project. I tested ProRes RAW from about five different cameras.
ProRes RAW is a Bayer mosaic and has no inherent color profile or gamma. It must be converted to something for viewing and other processing. FCP has an automatic "fallback" conversion if you do not pick a color space and gamma in Inspector's RAW controls (at the bottom of the video pane). Normally you would select the clip in the Event Browser, then use the RAW controls at the bottom of the Inspector's video pane to pick a color space and gamma such as S-Log3/S-Gamut3.cine.
After picking that, a "log-like" appearance will show up, but if in an HDR library, this will be a lower level if only viewed in the Inspector. If you add the clip to an HLG timeline, the log levels will be similar to viewing that in an SDR library and Rec.709 project. You can then use FCP's built-in camera LUT to convert the log exposure to the color space of the timeline. You can also use third-party LUTs, provided they are designed for HDR use or have a Rec.709 input and HLG output. Alister Chapman has some free high-quality LUTs for S-Log3 conversion, which also have exposure offsets plus Rec.709-to-HLG capability.
Do not try to manually convert from a log format. Rather, use either (1) FCP's built-in log conversion LUTs, or (2) A third-party log conversion LUT having HDR capability, or (3) Let FCP do the conversion for you by using the RAW controls and picking "standard conversion," and no LUT.
If you are grading an HDR format like HLG, that implies you have an HDR monitor. If you don't have an HDR monitor, you shouldn't be using HLG, since you cannot see it to make proper grading decisions.
Once exported, HLG is downward compatible with Rec.709, but that assumes it was graded on an HDR monitor and proper exposure and color decisions made in that environment. Grading an HDR format like HLG on an SDR monitor is like trying to grade color on a black & white monitor. New MacBook Pros with XDR screens have display presets and capability for grading HDR material.