What the heck is she talking about? "Craftsman style trellis?!" Well, I read that somewhere so it must be the official name! The trellis I so love is not your standard thick diagonal pieces. Instead, it is thin and square and so geometrically lovely. See below example. In case you were interested.
It is more open than a standard trellis but I think with some training vines will grow up it just as well.