CPU coolers don't raise fps, they lower temperatures.   So for the fps problem the answer will be no.
According to gandy, the "i7 will throttle down if it gets hot", so if it's cooler, I would presume I'd get higher frame rates.

Secondly, I had the -2400 wrong, not i7. I have an i7-2600. And here's a screenshot from my device manager if you don't believe me.  ;)

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