Caching the result is not speeding up function calls.
Author here. Sorry, If it feels misleading. I have no intention to mislead anybody. If you can suggest alternative title, I am happy to change title.
Just a side note: with Fibonacci + caching it solidly become Dynamic programming problem so Time complexity reduces from quadratic to o(n), IIRC .
There is a whole class of problems where recursion + memoization(caching) = Top Down Dynamic programming , The other way to Increase performance and actually reduce call stack in these class of problems including Fibonacci would be Bottom Up Dynamic Programming
Some gists I found on it https://gist.github.com/trtg/4662449