Right, that's bad design.
The cooktop I'm familiar with always turns off and beeps if something (metal pots or a liquid) covers a part of the button area.
To turn it on, you have to press two different buttons within a certain time limit, with a pot standing on the appropriate cooking zone. Most cats probably won't manage to do that.
> The only dumber idea I can think of is a touch screen
Oh, don't get me started. We own an oven with a touch screen. It's pure idiocy. But the cooktop is actually very good IMO.