The Pintech HVP 39Pro is a <40kV 50MHz oscilloscope probe.
The first small flyback transformer is driven by a 12v 16kHz 40% duty DC square wave.
The second is a 50Hz 240v 6kV bug zapper transformer and driven with a 50Hz "modified sine" wave inverter (stepped AC square wave approximating a sine wave).
The frequency and voltage checks true based on spark gap but I have no idea what the waveform should look like, is this what you'd expect?