The second website provided little or no technical information, so who knows what it would do. It also calls a compressor a turbine.
The first website claims that its basic unit can deliver 800 CFM, 1 psi boost, and from a 1.2 HP electric motor. Note that they did not claim that you could get 800 cfm and the 1 psi boost at the same time. A quick calculation shows that 1.2 HP could boost 800 cfm by about 0.35 psi. Or it could boost about 275 cfm by 1 psi. The actual combination of cfm and boost would depend on the RPM and size of the engine downstream of the device. A good 250 at 6000 rpm would want well over 400 cfm, so the boost would be around 0.6 psi.
How long will a battery deliver 1.2 HP?