Here's my story:
I had been running Doval chainrings (out of South Korea, no longer available) for years according to the positioning suggestions for recumbents. Then, as an experiment, I mounted a set of Osymetric rings ("If a little bit of ovality--Doval--is good, would a lot of ovality--Osymetric--be better? There's only one way to find out. I also wanted to bump my 50t Doval up to something with 52 teeth). I mounted the Osymetrics the same way that I had been running the Dovals, as suggested for recumbents, and it didn't take me long to decide that this was amiss. Everything, from pedaling to steering, was wobbly and out of whack. My legs were also working harder than they usually did to maintain the speeds I was used to. After a bit of studying and thinking, I shifted the Osymetrics to the standard upright position, and all of those issues went away immediately. My pedal stroke smoothed back out, as did the steering. My legs went back to their usual work load for my typical speeds. Ultimately, I decided that the Osymetrics were not for me (I never could quite get used to them), so I went back to my 50t Doval. This time, however, I mounted it in the standard upright position and quickly discovered that my pedal stroke smoothed out even more, and my speeds increased, both on climbs and flats, with perhaps slightly reduced fatigue. In short, it seemed that I had been running my oval rings incorrectly all those years, which I found to be pretty irritating as I thought about what might have been. All of this was on my V20. I ran the same Dovals on my S30, repositioned them too, and had the same experience--smoother stroke, higher speed, reduced fatigue. Dang it! Well, at least now I know.
Now, this is just one person's experience. Your mileage may vary. But when you consider the positioning of an upright rider, what riding a Cruzbike does is rotate that rider 90 degrees clockwise. But with a CB, everything rotates as a unit around the fulcrum of the hips--the rider, handlebars, cranks, chainstay, drivewheel. What was upright is now laid back, but all of those pieces move together (the rear triangle is now the front triangle), suggesting that the pedal stroke moves with it too, meaning that the positioning of an oval chainring should be the same for both diamond frame and CB designs. Sure, there are subtle difference in muscle use and pedaling dynamics between the two, but not enough to warrant positioning an oval chainring in any way other than what was intended.
Rotor makes some oval rings with a high degree of adjustability, with chainring bolt holes all the way around. If I were using these, I would start by mounting them in the recommended position for upright riders, get used to that feel, make note of speeds and watts (or at least perceived effort), and then rotate the rings by one hole in one direction. That change will be either a little bit better or a little bit worse. If worse, go the other way. If better, ride it for a while, make note of speeds and watts, and then rotate one more hole in the same direction. Keep doing that until you rotate to a hole where things turn that little bit worse. That's the one hole too far, leaving you with the previous two, maybe three holes to choose from for your best position. But again, the process starts at the recommended spot for upright riders.
I am a believer in oval rings for these bikes, and am currently using Absolute Black rings (52/36), mounted in the standard upright position. While shifting up onto the 52t is sometimes a little chunky with my Dura Ace 9000 front derailleur, I like everything else about these rings, from climbing to the flats. My cruising speed is a little higher, I'm finding my way onto new-to-me Strava leaderboards after a pretty long break from that arena, and my fatigue level is no worse for the added speed.
I hope that my trial-and-mostly-error experience helps others.