First, I should note that it's widely considered a poorly named idiom. Many people prefer SBRM, which stands for Stack Bound Resource Management. Although I (grudgingly) go along with using "RAII" simply because it's widely known and used, I do think SBRM gives a much better description of the real intent.
Second, when RAII was new, it applied as much to the acquisition as releasing of resources. In particular, at the time it was fairly common to see initialization happen in two steps. You'd first define an object, and only afterwards dynamically allocate any resources associated with that object. Many style guides advocated this, largely because at that time (before C++ had exception handling) there was no good way to deal with failure in a constructor. Therefore, the style guides often said, constructors should do only the bare minimum of work, and specifically avoid anything that was open to failure -- especially allocating resources (and a few still say things like that).
Quite a few of those already handled releasing the resources in the destructor though, so that wouldn't have been as clear a distinction from previous practice.