That is the idea of the varistor in that place. Only under overload conditions should the varistor become conducting and thus trigger the fuse. That the varistor itself dies during this act is an unfortunate side effect.
However. note that this failure is not necessarily the result of a single overload event. Depending on the quality of your mains supply the varistor may experience multiple small overload events during its lifetime. Every single event not being strong enough to trigger the fuse or destroy the varistor. But with every single small event the varistor
dies bit for bit until it finally blows up in a single catastrophic failure.
If such a failure happens rather frequently in your home, consider putting a powerline filter between the appliance and the mains outlet.