Recursion requires feeding the output back into the input, so creating version 4 requires results from version 3. You cannot recur in parallel.
Iteration does not. You can iterate in parallel.
In any case the name RSI has stuck - the idea doesn't change or make any more sense by giving it a different name.
You can search twice without waiting for the results of your first search: iteration.
You can't if the thing you need to search for is the results of your first search: recursion.
Version 1 -> Version 2 -> Version 3 -> ...
You can call it krispy kreme donuts if you want to.
So humans develop things one after the other, but when the thing itself starts developing new things, those are happening 'recursively' in its scope.