It just requires a motor teardown. But there could be other damage to the motor also. Frankly I never looked at the motors beyond confirming the centrifugal switch was fried, before I tossed them in the scrap bin.
At 240V, the max load on my single phase line is 23 amps, right at the nameplate amps for a 5HP motor.
Most modern motors with class''H'' insulation are just fine on a VFD. Consider that most 3 phase motors are dual voltage (230/460 in North America). What kills motors is the ''spikey'' output from a VFD, actually punches through the insulation. Since we are running them at half of their max rated voltage, it's really not an issue. The actual insulation in the motor is most likely rated at 1000 - 1200 volts. In my 40 or so years of hanging VFDs on motors, I have never seen a failure. I have been running VFDs on my machine tools for years, and have installed many on non-inverter rated motors over the years in many applications.
I didn't ask for any guidance from WEG, in fact, I purchased that motor from a guy on Craigslist for $125. It was brand new, never used. I know the brand so just went off of my experience.
I did some searching on VFD's this evening. It looks like the highest HP rating for a single-phase input/3-phase output VFD is 5hp.
I was tossing the idea around of a 7.5hp compressor motor with 3-phase via VFD. However, it does not appear there is such a VFD to handle the size motor from a single-phase service. So that puts me back to the 5hp class.