it is debatable, HOWEVER remember that my cooler setup uses a pressure tapping on the end of the box to directly lube the END bearing of the box that DOES go BLUE.
this is where the wear occurs, so when you launch the car, the load usually pushes the diff through the casing / the end of the gearset through the other end...
sure I've not done too many miles, but within 20 miles, the pump fires up ( I think i recall the temp is >80c )
you really want gearbox oil to stay at it's rated temp range, else it looses it's shear resistance / wear.
ALSO, OIL choice is very important.
HTH
normal road use is ok, but I'm not risking the aggro' on a 440hp setup