That sounds more iterative than recursive.
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.
The “recursive” part comes from the fact that you have an AI which was developed by an AI (that was developed by an AI (that was developed by an AI (…)))
You can search in parallel, but a depth N search can only become a depth N+1 search after the depth N is done (i.e. sequentially).
In any case the name RSI has stuck - the idea doesn't change or make any more sense by giving it a different name.