I don't know...your the CPU wiz, right? I'm just an old man.
Not really but compared to you, probably! Kidding.
Installing a game to your HDD makes it to where all the data loads from the HDD itself. Once you start your new game, first go around in Skyrim, everything you do and see is cached to the HDD. Therefor the next time you do something that was already done previously, its load time should be somewhat quicker and less freeze-happy.
May I ask how you just KNOW that?
Do you really think something that small would have been an issue with Bethesda on all the new tech they're putting out in this game?
It would be like buying a brand new car and forgetting where the keys go to start the thing.