I tried a wide range of things with no success. Ultimately, I disabled Windows Search (services.msc -> Windows Search -> Disable) and the problem was no longer seen.
Before Ken jumps in to scold me I'd like to point out that the experience is my own and I'm not professing to be a computing know-it-all, <sarcasm>although I am obviously</sarcasm> or that the above is an actual solution - I'm just providing some detail
that may help others.
I have been having the same problem as other posters, and the above suggestion led me in what appears to have been the right direction. I wanted to add my "two cents" just in case it could possibly help someone else having this problem.
As DCGeoff suggested, I disabled Windows Search first and restarted my computer. Unfortunately, System was still eating up disk usage like hotcakes on a Sunday morning. But then I noticed something interesting in Task Manager. I expanded one of the "Service
Host: " groupings and saw "SuperFetch." Having never heard of this, I immediately ran an internet search [insert pause for a short chuckle here] to see how important it was. In my very inexperienced opinion, it seems unimportant enough to disable, so I disabled
it. (Helpfully enough, it's name in Services is SuperFetch.)
While I had Service Host expanded, I also noticed two "Remote Desktop Services" running. I don't remote into any machines, so I also chose to disable both of those services. You can find them in Services as "Remote Desktop Services" and "Remote Desktop Services
UserMode Port Redirector."
I feel like I need to add the disclaimer here that I disable services like crazy and have for years. I'm used to opening Services to enable and disable. If you don't feel comfortable doing so, you may want to re-consider this post.
Long story short, disabling these four services (Windows Search, SuperFetch, Remote Desktop Services, and Remote Desktop Services UserMode Port Redirector) appears to have solved my problem. I have now restarted my PC twice, and the System disk issue is
gone, hopefully never to return.