The 900w Tempco Finned Heating Elements do not require fan circulation according to the manufacturer but the higher wattage ones do.
If the fins get excessive build-up of grease, food, debris, ect. there is a possibility that the element could over heat and fail. I use a metal wire brass toothbrush to clean the fins of buildup.
I had over 60 hours on my finned element before I installed my circulation fan and had no issues. I now have over 100 hours on the element(40 with fan) and no problems thus far.
I also have about 2 inches distance between the back of the cabinet and the element and it is mounted vertical for better heat dissapation & less chance of gunk build-up.
I have used a PID with the element since it's installation and would not recommend you run the finned element without one.
I know Beefman has been using his finned element for several years without a problem.
If you could provide some details on your setup...do you have a PID? How was the element mounted? How close to the interior wall?