I should add that BIOS: Advanced: ACPI is set to
Suspend to RAM: Auto
Check Ready Bit: Enabled
ACPI HPET Table: Enabled
PS/2 Keyboard Power On: Disabled
PCI Devices Power On: Disabled
Wake From Onboard LAN: Disabled
Ring-In Power On: Disabled
RTC Alarm Power On: By OS [perhaps related to MS InstantGo support?]
USB Keyboard/Remote Power On: Disabled
USB Mouse Power On: Disabled
So I'm not seeing anything above that looks to me like it should cause this behavior.
I could also add that both machines have a USB keyboard and PS/2 mouse.
By the way, someone said that the problem is due to +5V AUX being on, and that this can be disabled with a jumper on some Asrock boards, as at
http://superuser.com/questions/43085...after-shutdown, but my board does not have such a jumper.