You'll want to try everything as you go, just to see if it works for you, just as we all have. Never seen the video in question, but most times it's mentioned, its in reference to hollowing along the grain. Going to take a lot more elbow to do it across, where the resistance varies so much, that's for sure.
I do my cross-grain hollowing with the tailstock helping stabilize, which allows some pretty aggressive hogging, but if the chips "fly," I know I'm using more energy that what's required to cut wood. Newton says equal and opposite, so if the shavings curl down the gouge or eject in a continuation of the direction they were traveling when part of the piece, I'm successful. Generally results in a better surface, too, which is why even production turning favors finesse over force for the final passes.
http://s108.photobucket.com/albums/n28/MichaelMouse/ shows a few of the types of cuts I do, and while the shavings may curl around the gouge and change direction, they aren't flying anywhere. If they flew up, would mean I was hacking uphill on the grain, wouldn't it?
Hollowing endgrain is fairly easy to do in the 8:45 - 9:45 position too. I like a gouge drawn back to a full point for resistance to skate as I begin the bore, but the long edge removes an amazing amount of wood quickly if you push to the edge of control. Nice thing is you can tilt the gouge so the shavings run the flute instead of clogging the cut the way scraping types can. You can use both sides of the gouge by pulling up and out , then reversing down and in, too.
Use Newton as you evaluate techniques to determine if they're hogging to save time, or cutting to save sandpaper. If you were in a pit of poisonous snakes, speed would count, but in the solitude of your basement, take your time and save the piece and your elbow.