So basing on that I think it indirectly shows that TL431 block should be fine be cause effect is the same with simple zener and with TL431.
Yes, it seems like the voltage feedback loop is working.
Ok, I see what Trafo is. I presume 'pin1' of trafo is coming from a winding on the transformer. I am not sure why that has been designed like this. If the designers wanted to create a negative voltage on pin 3 of the controller then R7 is much much bigger than the current sense resistors, so it wont have any effect. If it was intended to capture a positive only induced voltage then the current sense resistors provide the same information. Strange.
You can try partially disabling the current sense by slowly pulling pin 3 to ground with a 10k pot and see if this brings the entire circuit into correct operation. Before doing that I would check what is the maximum current for Q1 (part number?) and then measuring that current (As a voltage and then Ohms law) across the current sense resistors with the scope and stay well below that.
You can also try to power the controller (Vcc) by an external 13V power supply. The datasheet specifies a minimum 12.2V for turn-on, but from the Vcc waveforms I dont see this reached, possibly the current protection kicks in before C10 charges up and the regulation circuit begins to function properly (a DC output voltage at Vcc).
As a sanity check, check the HV supply, it should be about 325V.
If all this fails then most likely the controller has surrendered its spirit.