If you read my posts you will see that I already did that with the 120V winding. It works good on 120V. I'm going to convert it to mosfets. One guy says it won't work but didn't say why.The meter would be checking at a low collector current where the leakage would be more significant. In the inverter, the collector current will be much greater and the leakage becomes insignificant.
This inverter is self-oscillating and if the load on it is excessive that can stop it oscillating. I would be checking what the inverter feeds to make sure it is not overloading the inverter.