Dubious statements, at best. If you watch video of MLB pitchers frame by frame, you'll see that the front side arm reaches a fully scap loaded position prior to shoulder rotation. From that point on, there is very little, if any contribution by the glove side arm.
It's more accurate, but not completely, to say that the front side shoulder actually becomes a stationary axis for the other one to rotate around. So, bring the chest to the glove or glove to the chest, I think it's six of one or half a dozen of the other in terms of benefit. Now, if we talk about productive cues, my personal OPINION is that bringing the chest to the glove isn't bad.
What House noted in his first book (I believe it was his first, correct me here Roger if I'm wrong), is that hard throwing pitchers have the glove ahead of the hip at release. This hints at the chest to glove cue being more accurate.
As I've done in the past on this board, I'll say that all the talk about chest to glove or glove to chest is moot. We're "barking up the wrong tree". This is one component of what should be a unified whole. Let's put it all in the context of overall timing, hip/shoulder separation AT THE RIGHT TIME, good arm action facilitating a smooth transition for a whipping motion AT THE RIGHT TIME, good back leg contribution to hip rotation AT THE RIGHT TIME, good shoulder rotation AT THE RIGHT TIME, good trunk forward felxion AT THE RIGHT TIME, etc., etc.