I have noticed most ovens that used to come already fitted with a 13Amp plug,now just have terminals for you to connect your own cable and I think there is a clue there (manufacturers are aware that a 3.6kw oven may work fine on a 13Amp plug ...for a while.) . When you go to cook Christmas dinner and the oven is working at full capacity for long hours then i would consider diversity to be a bit of a red herring mainly used by lazy and/or incompetent fitters, to avoid installing a new 20Amp radial,so they just throw it in a socket designed for 13 Amps max despite the appliance being capable of pulling 14 amps..!
A 3.6kw cooker needs a 4mm hofr (heatproof) cable from cooker to 20Amp isolation point,then feed isolation point in 4mm pvc twin + earth and protect circuit with 20Amp ocpd.
Have you ever seen what a 2kw heater can do to a plug top? Putting a modern oven on a plug is what you call sailing close to the wind