General Aviation has a very powerful lobby. Hopefully they will be able to squash this. I don't use GA myself, but would hate to see such an expansion of TSA's sphere of influence.
Checking GA passengers against the no-fly/selectee lists is asinine (and the press release even idiotically claims that selectees should not be allowed to fly at all) and nothing but a means to create more checkpoint/dragnets for whomever TSA doesn't like this week.