Yes. If you not sure of your directional control in surf, your best bet is too side surf in. The trick with this particular break is that it is dumping and that there is a suck out almost right after the wave breaks. So you got to make sure to be totally wedged up on the shore line to make a quick exit from the boat ON THE WATER SIDE. And then you grab the boat and drag it farther up the beach, away from breaking waves.
If you find yourself getting sucked back out into the wave break/dump line before being able to exit the kayak, then try to maintain an upright relaxed posture (which allows to brace in either direction) while staying paralleled to the oncoming waves. Basically, you would be waiting for the next side surf opportunity. Look, wait, then lean and brace into the next breaking wave as it drives you and boat up the shore again. Then exit quickly as you can on the water/wave side before the next breaker.
The above can/should be practiced in smaller and less dumpy conditions. If a particular beach break is not dumpy, you can practice back paddling to the beach on the foam while acing out to the waves. This way you can see when the perfect opportunity is to get out of the kayak.
PS - @LowTech Basically take the same approach as the paddler did in the 4:40 frame of the Gales video. Stay patient (and perhaps a tad bit more relaxed) and just keep bracing and side surf each wave until you feel comfortably wedged up on the shore line before exiting.