Jim,
I checked out their web site. I can see that for certain situations, the Unico system could be reasonable. For example, it could be used to circulate air through a good filter system or distribute air from a heat recovery ventilation system independently of an AC system. However, for actual air conditioning, it would be very inefficient and in certain areas of the country, would even fall short of code requirements.
Unico did not provide effeciency numbers, and it's no wonder. They state that their system moves only half as much air per ton of cooling as other systems do. The problem with that is that the air that is moved would have to be considerably colder which would reduce efficiency. The recording stated that the Unico system is far more effective at removing humidity because it operates at a lower temperature, but I had already figured that out before I got to that part of the recording.
To increase cooling efficiency (SEER or COP), modern AC systems move a higher volume of air at a higher temperature than older systems did. The higher the temperature at which the evaporater can operate, the greater the efficiency, ceteris paribus, the drawbacks being poorer humidity control and, because of the higher volume of air, possibly noiser operation. So again, if the Unico system were used for cooling, its efficiency would be significantly lower than that of a system that delivered air at a higher temperature.
The above criticism of the Unico system applies only if the size is selected per their recommendation. However, if the size of their air handler were selected so as to move the more usual amount of air per ton of AC, then efficiency should not be a problem.