Hi Rocket,
We have a large selection of sizes Airush Hybrids in our school this year. We are running the DNA for school work and beginner riding and are offering the Flow SLE for our rental customers.
To answer your question, a true hybrid will not invert, the nversion thing happens to bows, or flat kites due to their wide flat section. A hybrid has more of a "C shape, in fact I best heard them described as flying toenails

Due to the "C"/toenail shape, they won't invert even fully sheeted out in gusty winds.
It seems there is a lot of confusion about the name hybrid. A true hybrid is part bow and part "C" but not really like either. A lot of others like tribal, atom, boxer etc are just big depower "C" kites usually with 5th line type attachment for some centre span support.
The Flows have been amazing for us to fly with nice turns, and really smooth power, around 80-90% depower for the Flow and 100% for the DNA.
Jumping is good and you get long floaty jumps, not as good a the Halo, but neither it should be, the Halo is pure performance and as with any really high performance kite, they tend to be twitchy and technical to fly.
The Flow is about intermediate riders and riding simplicity, it's easy to fly and requires no thinking, it is as stable as hell so it works amazingly in the surf and is super sweet for unhooking. Big grunty and reasonable hangtime and height, especially the smaller ones, (10, 7).
We have them for rent in our centre at Pinnaroo and if you like them and decide to buy one, Airborne or Windforce will refund you the cost of the rental. Cant go wrong really.
Just thought i'd take advantage to add something different to the topic and throw in a quick shameless plug.
Good winds,