I believe that with some modifications (which will actually make it high quality) it can be published, as long as it is SPECIFIED that it is a brief communication, perhaps in the headline..The suggested modifications would be proposing ways of testing hypotheses and maybe providing a concise definition of "rule dependence", as not everybody knows what this means. Once this is done, this paper will be publishable.

I concur.

Here is the third revision.

The article has improved. However I do not agree with some underlying assumptions, not explicit in this article but present in Woodley and Armstrong (2014), which equate g with general intelligence and as a result, all IQ gains that are not g loaded are also not intelligence gains. I believe g to be more similar to general mental ability, as indicated by its being correlated to lower order processes such as mental speed.
Thus, I think that IQ gains are not "apparent" simply because they are "rule dependent", as to me the ability to detect patterns and identify, then apply rules is an ingredient of intelligence. However, these are more "philosophical" implications that go beyond the scope of a brief communication.
As a brief communication, this article should be published.

Here is the third revision.

You can publish.

Final version attached.

Attached as suggested