I think there is some value to this method, but it may not be readily apparent in the present context. If you have a problem that you don't yet have a firm theoretical handle on you can figure out a baseline value for the answer using this technique, and then work backwards to give you the formula that allows you to arrive at the real answer.

I use that trick a lot, for instance with Euler problem 307 I could not find the answer easily in an analytical way, did the simulation, found an approximate answer (to within 6 decimal places or so), used that to figure out what I was doing wrong and then computed the real answer.

Some may see that as cheating, but it works wonders and not just on that particular problem.