I find this interesting, as many Baptists have claimed throughout history the opposite argument to make the same point, that is, that they are not Protestants and descend from a tradition that traces itself back to the Apostles.
This usually takes the form of Baptists being modern-day descendants of some early heretical group, but they were really the "true Church" that went into hiding, especially after Constantine messed things up by establishing clergy, writing liturgies and all of that extra stuff. Unfortunately on their part, Baptists aren't good with church history, and so they usually fall apart about here. Funny to listen to that, though.
It just strikes me as odd to hear an appeal to the same coming from the opposite direction. Most Baptists I've known simply call themselves Protestants or stick to some crazed theory like the above I described. I was originally baptized as a Missionary Baptist, and was always told we were Protestant. Of course, as the old joke goes (with its many, many variants), if you get 10 Baptists in one room, they'll have 11 different opinions on any given topic!