I went through all this so can save you time. I'm pretty sure the new Carrier system will NOT connect to HAI like the old system did. You can double check with HAI on that. Carrier still sells the "box" (SAM) that can connect to HAI and Carrier Infinity, but I'm not sure for how long.
So where does that leave you? If you can get the Carrier Infinity, that will work with Carrier's wildly overpriced interface box. ($800) Also you can use Trane. Their models up to the XL16i do work with ANY brand multi-stage thermostat like the OmniStat2. I'm not sure about the top-of-the-line XL20i. I hear different things on that. In any case the AC contractors I spoke with didn't like the XL20i anyway, due to the delay when switching stages, and its sometimes lower efficiency than the XL16i. (XL20i has a 11.5 EER, the XL16i has a 12.5 EER)
So for just a straight unit, the OmniStat2 is fine. Where you have the problem is if you want zoning. For zoning, all the contractors like the XL20i with Trane's zoning. This CAN NOT be controlled with HAI. But what you can do is what I did. Get the XL16i, and a Honeywell zone controller, and that does work with OmniStat2's. Of course I don't want to think about how much I spent for three RC-2000 OmniStat2's with Zigbee. I guess they are going to get you one way or another. But the zoning works and it is easy to control with HAI.
Now, having said all that, its is HARD to find a contractor that will install such a system. They have all gone to "Trane School" which tells them the Trane way is the only way. I recommend a smaller company that will take the time to listen what you want. For those in Phoenix I can recommend a good one.
Not lots of options, but you can have Trane, have zone control and have HAI control it. I do, however agree, that HAI needs to be more aggressive with these big companies and push to license an interface.
Edit: I should add that there is a second option as well. Hook up an OmniStat2 to most any HVAC unit that can connect to a "normal" thermostat, then control the dampers with HAI relays. You'll probably need a HAI temp. sensor in each zone as well. I know the professional home automation companies do it this way, and it probably will work, but creating the functions of a zone controller in HAI programming isn't easy. For one thing, I don't think the OMNI programming can read or set the Stage level of the AC which is important. Therefore I would not recommend this method for a multi-stage system, but with a single stage system, it could be done.