Curious as to why you teach to stow the inflated bag in the cockpit? Why not put spray deck back on with float still inflated, then deflate and store on the person (in PFD), where it will be handy if needed again? Just thinking if you had a second wet exit, the float could be lost as it's not secured.

Quicker /easier to pop the float on the paddle then inflate?

You made this look so easy.

in rough water you didn't put your spray skirt on.

At about 0:55, you see he reaches out for the kayak to re-grab it as it drifted a bit.  If there was any wind, the boat would have floated away.  Strong wind and it would float faster than you can swim.  he shows one way to handle this later in the video - to leave the boat upside down and keep a leg inside the boat.  This keeps the boat in control, yet leaves your hands free to work the paddle float. I teach this as the way to do it in all conditions.
Note - this leg in cockpit is not recommenced in a breaking surf zone, but then again, a paddle float rescue wouldn't be recommended there either.

I also teach to put chest on back deck and then put a leg on to the shaft with the paddle float.  For people who don't have balance as good as Gordon Brown does, this is generally an easier way to maintain your balance.  Once you have your chest on the abck deck (preferably on the paddle blade which is on the back deck) and a leg on the shaft, you have excellent balance and can stop and rest if needed before starting the spin to get your legs and then body into the cockpit.