Diversity is not used for single circuits, it is for estimating the total load of an installation.
However - the duty cycle of certain items is important and should be used when designing circuits. Such as this:
As for rating for max possible load what about motor starting loads?
standard is to cable for full load current of motor, starting will be 6+ times that for several seconds, surely you wouldn't put in cable 6X size for that so as not to overheat cable?
otherwise cables everywhere would be grossly oversized. While duty cycle won't be relevant to most items in a domestic situation, a cooking appliance is one example where it is.
For a motor which is started infrequently, the starting current is not relevant when considering the size of the cables. The cable will heat up when the starting current is applied, but this won't last for long, so the cable would be sized to the running current only.
If the motor was started often, such as every few minutes, the start current would be significant, as the cables would heat up, but probably wouldn't cool completely before the next start cycle. The cables would be sized on the equivalent load current, which is calculated using the starting and running currents, how long the start current is applied and how often the motor is started.
For the hob, a similar situation applies. If all the rings were on at the same time, the initial current would cause the cable to heat up. However after a short time, the load will drop significantly as the various thermostats operate. The equivalent load current is much less than the maximum of all the elements combined, even though for short periods it is possible that all elements are on at the same time.
For the hob, one method would be a fairly complex analysis of the cycle times of the various elements both individually and when used in various combinations. Or, see page 160 in the OSG, which although refers to the 10A+30%, doesn't mention diversity on that page at all.
Note that this doesn't mean the 10A+30% is correct for all types of cooking appliances, as ratings do vary considerably and a powerful hob and large double oven is probably not equivalent to a single freestanding appliance with 4 open coil rings, a grill and an oven.