To answer this question, first we must define what Tanaka plots are. Nobuo Tanaka devised a set of chromatographic tests that are intended to characterize the properties of a given stationary phase. The analyst performs a separation of various test solutes in the manner described by the Tanaka test and records the resulting chromatographic values obtained in the data.
Each set of analytes is said to correlate with a certain parameter of the stationary phase. For example, separation of triphenylene and o-terphenyl is believed to correlate with shape selectivity characteristics since the compounds are comparable in hydrophobicity but different in shape.
The limitations of these tests are that they are run in reversed phase mode, so therefore may not be applicable to elucidation of characteristics in other retention modes such as ANP. So these tests, although widely applicable to many reversed phase columns, may not translate to Cogent columns in ANP mode.