An example of cross-bridling is line between tips of rrd type wave II, vintage 2005. Most riders found this line superfluous I think. Maybe also was supposed to save kite from 5th sawing it in half in wave crashes?some use of bridling from tip to tip in C kites to prevent the arc opening.
I was tempted to try one but instead just copied the bar design, that was the real innovation with this kite -dynamic 5th line to a CL pulley attached to floating collar on the bar. I added a cleat and this let me run a 15m fuel with as much or as little bar pressure as desired, up to 25mph instead of 20. It was a cool innovation for C kites of the day, for me it was a hack to get better performance and wind range. With more modern kites it seems a needless complication.
Funny since I went strutless I have more wind range and end up upwind of everyone else, and can chase waves that would have almost any other lei stalling or overflying. Only real compromise is less explosive boosts. Pumping up in half the time and weighing ~30% less would be just a bonus except actually it's key to the performance. Weight would matter even more if I flew to kite. Stability and pop are great for wakestyle pop or wave jumps, but usually I ride old man style hooked in and strapless 85%. Speed records and course racing are not mainstream so I discount those possible shortfalls. Horses for courses, to each his own, and I do still whip out a strutted LEI sometimes...strutless. It has a niche and is interesting but I see it as an unnecessary compromise for the mainstream.
Mr H, the examples of your work over the years are interesting as always, among other things it's interesting to see the same things done for opposite reasons and likely in hope of producing opposite results, in different designs. And vice versa, ha ha!
So as others pointed out, bridles that pull this way or that way with or without a pulley have been done, but it seems smart and innovative to keep the application on the front of the kite though. interesting.
Now bring on the video B roll and show us some hard kitelooping, relaunches, overpowered riding etc.