Do you see any value in leaving the motors running at all during the pulsing? Remember, there is no better energy saver than the OFF button! 210 cycles of 15 seconds comes out to just under an hour of running time in a 24 hour day, so having them completely disconnected will add up. In pulsed air dust collection systems that I have worked on, the motor is just turned off during the cleaning cycle and turned back on again when done. They use soft starters to avoid the problems of mechanical shock on the restart because soft starters are usually 1/5th the cost of VFDs, which makes the payback a little faster. Generally the blowers barely slow down more than 50% during the pulse cycle anyway, so using a VFD would have no tangible benefit other than a slightly reduced re-starting current.
The only similar application I have seen where the VFD made sense is in dryer blowers at car washes. If the dryers have electric heating elements, as some do in colder climates, you need to keep a minimum amount of air flow going across the heaters in between cars to avoid having to either take too long to re-heat, or burn up when the blowers are off. In older designs then, the blowers were just left running. In that case, they could save energy by leaving them running but at a reduced speed; just enough to protect the heater elements, then ramp them back up as the next car became ready. In your case though, there is no benefit to keeping the bowers running is there?