Ok here is my guess.
Everytime someone uses the search button, it takes up some "bandwidth" (not sure if it's called bandwidth or something else, but it's the thing that lets FF load faster). It's a bit like the New Posts function, every time someone uses it, it contributes to lagging FF. There is a 4 char minimum limit because if you search for something that's only 3 characters or less, a LOT of results are gonna pop up and that's like major lag for FF.
Ok, I'm done with my guessing. Don't quote me on this. D:
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