The example schems in the datasheet and app note show a 83W offline flyback with no primary clamp, and this is very inadviseable....if not totally out of order.
At the very least you need a diode_TVS overvoltage clamp on the primary....and they show nothing like that.
The internal fet in the FSCQ1565 can avalanche, but its datasheet gives no repetitive avalanche rating, so therefore you cannot rely on avalanche of the internal fet to clamp the leakage inductance spike.
The internal fet of the FSCQ1565 is only 650V rated so this to me is a bad idea.
Also, coffeefet is onto a looser here, because page 13 of the FSCQ1565 datasheet says that adding the drain_source capacitor is good for EMC.
This just is not correct, because it worsens EMC due to the fact that when the FET turns ON, the drain_source capacitance is suddenly discharged, resulting in a discharge current spike which worsens EMC.
The datasheet says that the slower rising drain voltage at FET turn-OFF reduces EMC problems, but it doesnt , because it worsens EMC at FET turn-ON time. You cannot reduce EMC problems in a flyback by simply adding a drain source capacitance....if only life were so easy.