[Mondial]

Don't think it will work. That looks like an electronic switching inverter, not an old fashioned copper and iron transformer. There is no mention of waveshape, harmonics or phase of the output.

Even if the output was a true sine wave and the phase was controlled so as to be able to subtract from the AC line voltage, there would still be the problem of RFI. Most of that type of switching supply will put out loads of RF noise and harmonics, which will be picked up by the radio you are trying to operate.