I don't get it. Stabilized means stable, not very reactive. The noble gasses have stable configurations so they aren't so reactive.
I tried to reformulate it this way: The benzyl radical is more stable, so it is energetically favored to be produced in one step of substitution (this would be similar to the carbocations i.e. when Markovnikof's rule is used). I agree with this:''If the radical is not stabilised it can readily undergo an H radical transfer to give a more stabilised radical or other side reactions.''
One last question: Is it really true that not even a single molecule is made with a primary hydrogen replaced by bromine? This wouldn't seem reasonable, as in addition of e.g. HCl to pentene, both product are going to be made, on is the major product, the other is present in traces.