Hi
@Spragnut,
The main advantage of this method is that it works on any layer. If you notice we only have 3 restrict layers one for top, one for bottom and one for vias. On a multi-layer board this is the best way to create voids on inner layers.
Unlike the restrict layers which flag any copper entering their boundaries and control the autorouter's behavior, cutout polygons only affect polygon pours. These cutout polygons do not serve as a restrict to the Autorouter or any of the assisted routing modes.
So it has one big advantage over the restrict layers and few cons against them. There's isn't currently a one size fits all solution that can handle either scenario.
Let me know if there's anything else I can do for you.
Best Regards,

Jorge Garcia
Product Support Specialist for Fusion 360 and EAGLE
Kudos are much appreciated if the information I have shared is helpful to you and/or others.
Did this resolve your issue? Please accept it "As a Solution" so others may benefit from it.