Okay, first off, let’s clarify one thing. "Martial arts" tends to mean different things to different people. This isn’t wuxia or even Hong Kong action theater. These options are designed to represent the abilities of characters who are trained (or are naturally skilled) in fighting. You could just as easily add these Edges to the Combat or Professional Edge list without any mention of "martial arts."
The goal is to be able to introduce martial arts into most settings without changing the balance of the system. Generally, skill at "martial arts" is represented by a higher Fighting die type. But the Edges here can help give characters a little more flair and choice. Now, it will be a bit easier to differentiate your college wrestler (Grab and Hold) from your kickboxer (Unarmed Warrior).