I don't know any way a CPU can suddenly skyrocket in a matter of seconds, from 33 to 90 degrees, unless their is a cooling failure, fan failure etc. Having said that, the chances of having two failed coolers like that, one after the other is very small.
Are you sure you are reading the temperature correctly, and that it's not a temperature reporting issue, so software related?
Korth is correct regarding mounting pressure. Mounting pressure directly affects cooling. Precisely why many cooler manufactures deliberately increase mounting pressure above Intels load recommendation by many Newtons.
They can go from nearly room temperature at idle to 80C in seconds depending on frequency and voltage even with functional cooling solutions.
So, odds are, if you have a pump, it stopped. Temps are manageable until you load up the processor. Of course, the OP should definitely check for lose mounting as well, but just know that a failed pump will behave exactly as you described.
Cekim... I don't think you interpreted my post properly.
Of course they can. But the OP was obviously referring to a sudden extreme change of temperature without changes in other parameters that would normally be associated with a temperature rise. Precisely why he regarded it as an anomaly. Which was precisely why I commented that it would require a cooling failure.
Which is precisely what I implied, a cooling failure. The weirdness is that he had the same behaviour with two consecutive coolers which may point to another issue.