That's awesome that you were able to turn that nervousness into a good, productive workout! I'd definitely call that a good day's work.
As for the lunging, it doesn't really matter too much to me whether or not the horse faces up, as long as I have his attention (which, if he's stopped well on cue, I probably have) and he doesn't come into the center before I invite him. Facing up, to me, just tells me for a fact that I do have the horse's attention. Some horses will face up, easily, some will stop on their path. Scout does face up, for the most part. My first horse, and my sis' QH stop on their paths much easier. Sis' horse will even make this "You really going to make me..." face if I try to yield his hindquarters and face him up. He's so expressive sometimes, especially when he's bored or grumpy.
For the most part, I see horses that do more "classical" (for lack of a better word) lunging, with side reins, surcingle, etc., stop in their path more often, and horses better versed in NH groundwork, circle driving, and NH lunging tend to face up. Maybe classical has them stopping in their path so that there's less chance for things to tangle up, versus the NH that uses just a halter and line.