So I just moved the installation from my SSHD to a Gen3 NVME drive, and (as expected) the load times were better.
From the moment I saw the 'loading bar' to the main menu was 10.2s. (Note that the load bar shows up after the skippable larian / nvidia logos, I had skipped nvidia logo once it popped up).
Pressing continue brought my loaded into the Shattered Sanctum. It took 26s to drop off the loading screen, then around 2.5s for the initial render, and another 2.5s or so for the final texture to load in. so thats a 50% improvement in loading time. (62 -> 31s)
Subsequent loading was approximately 28-30s, so a negligible improvement over the SSHD test. this included loading a different area altogether (went from sanctum to chapel entrance), and reloading saves multiple times in a row. All of these tests had zero texture-load-in after the fact (whereas the first time booting the game up had to load in higher detailed textures. And while it was playable around the same time as the SSHD, the textures on the SSHD took about 10-15s to fully load in. So if thats what you care about, it can be considered a large improvement of about 33%).
More readable values going from SSHD to NVME:
50-75% improvement on game boot.
50% improvement-ish on initial loading of save game
16% improvement on loading save games after initial load. If you include the HD-texture-loading that occurs after initial rendering in this stat, it was actually 33-40% improvement.
These improvement numbers will likely be more exaggerated if you play on a standard HDD and not an SSHD.