I asked the technical guy at Lutron if this was also surge protected, he said yes it will trip under a surge hit. I am not sure how it would effect the performance of the sub if at all.
I will say that I purchased a simple Tripplite single outlet surge protection plug in unit which then becomes an outlet socket. I read that it was decent and I tried it with my 500 watt DefTech. I could see no ill-effects, so if it's similar to the wireless outlet, I assume it should be ok to use. I also used one on the Big SVS PC13 Ultra and again no issues.