Both are spot on examples on what the cerebellum does. If I may, a third example/analogy that comes to mind is cache memory or L2ARC drives, at least that’s how I have it stored in my mind (pun intended) :-)
A less-volatile form of L2 cache.
Food pocketed in my cheeks are the CPU registers?
I would think fridge is RAM, L2 is table, L1 is plate. (I am deliberately ignoring the pun potential for Cold Storage.)
But other than bickering about the exact mapping, I don't see the problem with that analogy?
It's an analogy for a reason. It bothers me when people combat analogies so incredibly hard. Of course, it is not really fitting or the same thing - it's an analogy.