Thanks for mentioning this, JoJun.
I didn't check the folder on C:\Windows\SoftwareDistribution\Download previously. This makes a lot of sense now.
I was able to move the user back to Windows 10. I checked, and the registry keys were still there after the rollback. When I checked the path "C:\Windows\SoftwareDistribution\Download" there were data files on it. As you mentioned, if the update was already saved previously to the registry key modifications, it could get installed after a reboot.
I deleted the information inside the folder (not the folder), and I'm keeping an eye on the computer. Hopefully, it will stay in Windows 10 now.
Thanks so much for your time and for helping me find a logical explanation for this problem.