Mobo simply enables and disables but that doesn't mean power doesn't go to it, it just means it won't be used, no data to it, no driver is on.
You can actually switch from monitor input or in windows. That of course means both are on but drivers aren't being used unless the gpu is active. Power usage is still the same, it idles.
Turning off the psu even if it's disabled in bios may not let the pc boot since the gpu can't function properly. It may work just fine but I don't get why you are wanting to complicate this. It still uses the same amount of power disabled, not active or with the psu off.