In Norman, Price, and Jones (2011), we argued that the ability to apply two sets of grammar rules flexibly from trial to trial on a "mixed-block" AGL classification task indicated strategic control over knowledge that was less than fully explicit. Jiménez (in press) suggested that our results do not in themselves prove that participants learned - and strategically controlled - complex properties of the structures of the grammars, but that they may be accounted for by learning of simple letter frequencies. We first explain why our main conclusions regarding strategic control and conscious awareness are a separable issue to this criticism. We then report additional data which show that our participants' ability to discriminate between the two grammars was not attributable to differences in simple letter frequencies.