I've had some fun with this in the past and have used both Paul's Pontiac technique (having found the same approach described for a Fiat X-19) and the technique in the workshop manual.
I was used to bleeding the coolant on my old Fuego by hooking the expansion tank as high as possible (easy as it had a long tube to the top of the radiator), opening the bleed screws until the coolant comes out, closing them, running the engine until the thermostat opens and then do the bleed screws again. So, I was looking to the same thing on the GTA but initially couldn't find the thermostat housing bleed screw.
So, I went for the get the front of the car as high as possible, run the engine and bleed from the radiator. Of course, I discovered that I needed to clear out that bleed hose. I think this did a good job of bleeding the coolant but the it was very hot and the location of these compared to my old Fuego made this difficult and despite being a bit ready for it I scalded my hand getting the bleed screw back into the radiator despite wearing Marigolds with surgical gloves underneath. That coolant was f***ing hot by this stage! All related to clearing the sludge in the bleed hose. Never had this kind of 'fun' on the Fuego.
As a consequence of all that and after reading the workshop manual on this site, I took particular note of the comments that say that you should NOT open the bleed screws with the engine running.
It's interesting that the manual says to get the expansion tank as high as possible (anyone found a way of doing this in the GTA?) implying doing the same easy thing as on my Fuego and R5 where it was held in with a large rubber band on a long hose.
Anyway, next time I managed to find the thermostat bleed screw and used this and the radiator bleed screw with the engine cold and off and all seemed well. I suspect that there's an element of auto-bleeding into the expansion tank from the top hose that goes on when you run it. Hence the comments in the manual about checking the level in the expansion tank after running the engine until the thermostat opens / the radiator fans come on.
I agree that it seems weird to bleed it cold with the thermostat shut but it seems to work and compared to the older Renault engines, it certainly doesn't appear to be designed to be bled hot with the thermostat open.