The whole thing felt like the machine shut down with all fans stopping and then the power button was pressed a second later. I am not having issues anymore, but I really want to know what caused restarts earlier. As I said above, the problem has not reoccurred after I disabled WoL -- didn't happen even after I reenabled for about a day. Right now, WoL is disabled for good, at least I think it's disabled because sleep and shutdown cause the this ethernet's adapter LED on my Netgear router to be completely off instead of solid orange when WoL was enabled. I don't see a manual WoL setting in the BIOS, so I assume that windows passes that setting to the motherboard.
I absolutely accept that tracking the issue may not be possible at this point.
C:\Windows\System32>powercfg -lastwake
Wake History Count - 1
Wake History [0]
Wake Source Count - 1
Wake Source [0]
Type: Device
Instance Path: PCI\VEN_8086&DEV_7AE0&SUBSYS_50071458&REV_11\3&11583659&0&A0
Friendly Name: Intel(R) USB 3.20 eXtensible Host Controller - 1.20 (Microsoft)
Description: USB xHCI Compliant Host Controller
Manufacturer: Generic USB xHCI Host Controller
C:\Windows\System32>powercfg -devicequery wake_armed
HID Keyboard Device
HID-compliant mouse
HID-compliant mouse (001)
HID Keyboard Device (004)
This is after disabling WoL. Before then, my network adapter was on the second list. I wasn't smart enough to issue powercfg -lastwake right after the first restart, but if it happens again, I will.