After getting a notification on GitHUb, today I manually updated to v5.10.6. When I initially viewed the Health Check after doing so, it showed the correct version. After a page refresh related to this, it told me a new version was available. It said:
Current version: v5.10.6
Available version: v5.10.4
Clicking okay, the page refreshed and after a brief pause it said I had v5.10.4 installed and no updates were available.