Yes I think you are on the right road. 2 revolutions is too many hot or even cold.
They can go bad at anytime, sometimes gradually or all at once like it sounds like yours did.
I bet you can not hear the fan anymore when reving it up.
I've had 2 or 3 of them go bad on me over the years. They were all hi mileage originals, the one on my 340 is about 12 years old now and still cools my car in 110 degree temps. I've been tuning on it lately and still notice alot of fan sound when I rev it up, you should hear the fan even when it's cool.