I have some of these PIR sensors

Specs say input voltage of 5v-12v, so there's some kind of onboard regulator, possibly 3v3.
So the output signal is 3v3 regardless of input voltage?
Is there any point in giving this sensor more than 5v? Does the excess just give the regulator more to do with no gain in sensitivity/ sensing range?
My project involves 120VAC into a 12VDC PSU for a 12V LED Strip as well as a buck convertor to feed an ATiny85/RF receiver/PIR Sensor 5v. Maybe the RF would see a benefit if given the 12v line instead of 5v but that's a diff topic.