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[ca88313]

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[anamnesis]

As I wrote in another topic: Tonal hearing is an aesthetic choice and mental procedure that has levels of skill that can be developed. 

Tonality isn't a binary on-or-off property of a musical work.   

Tone-rows are essentially "super-motifs". 

As such, they each have their own structural implications.   Obviously, some of them are going to be "easier" to hear and compose in (to make these implications more obvious to a listener) than others. 

[xdjuicebox]

I do something similar - I do a "chord row," where I take a tone row and use those as the root of the chord (though not necessarily in root position). So essentially the same thing, but without the clockwise restriction. It's quite interesting, actually.

[ca88313]

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[anamnesis]

Looking closer, your question in my mind doesn't make sense.

12-tone technique, is a compositional technique.  It's not a way of "hearing" or way to mentally parse out music. It's essentially just a way of generating abstract super-motives.  

Tonality is not compositional technique, but a method of perception that is applied at various degrees of skill and effort.  

They are not competing approaches to music; hence, there is no reason to angst over a dichotomy that doesn't actually exist.