I would not agree with that statement, because you received your change in a few days, and most others didn't wait more than a week after the request. The whole point is how each individual member will support his request, or rather if he is asking for a name change for a good/meaningful reason or if he just wants a cosmetic change because he just doesn't like the current name.

I know of at least one case where a forum member got at least two name changes in a very short period of time, which only confirms that it is by no means the most difficult request.