Insulation distributes heat release over time, at the cost of temperature control. If its going to be used all the time, especially with multiple units, distributing release over time doesn’t change much but the delay between first turning it on and full effect to the surroundings, and the impact on temperature control is still there.
Insulation is only effective with intermittent use.
> If it was only effective with intermittent use then we wouldn't insulate water heaters as they're 24/7.
Water heaters are not running 24/7.
The entire point of water heater insulation is that you run them to heat up the water in the tank, then the water sits there at temperature, and when needed it has a fast response time (and also actually provides hot water as the heating loops generally don't have the heating capacity to bring the water up from ambient or sometimes just above freezing to sanitary at the flow rates users ask for).
Yes, but no. Insulation helps maintain a temperature difference. Assuming the kitchen is not perfectly isolated itself, and probably even has at least some ventilation, if not airco, it will help keep the oven warm and the rest of the kitchen cool, even if it's being used 24x7.
Insulation is only effective with intermittent use.