No, it's not normal. Normal is the element and blower work on/off at the same time.
It can be seen from the images that thermostat turns on/off power to the both.
I think I know what the issue can be.
When the element is heating, probably there is a partly broken wire (maybe part of element) somewhere that cuts off power to the element, but the blower remains on, so actually thermostat never reacts but when it cools down wire gets connected again and becomes conductive again and heats up element.
I have noticed some sparking in the element.