Yes, I have also reached the conclusion that the possible explanation lies in the tension notes.
If we were to consider the remaining notes of the S/T scale as tensions, the diminished chord would lose its identity (e.g., C, Eb, Gb, Bb), whereas with tensions one tone above the chordal notes we would have, for example, C, Eb, Gb, B and we would still perceive the chord as a diminished seventh.
From a melodic point of view, there is also a more bizarre reasoning regarding the fact that for our ear, ascending chromaticism results in being more effective than descending chromaticism;
as a consequence, having to "fill" the gaps between the chordal notes (or accordal notes, if you will), it is more natural to choose the notes that ascend chromatically towards the chordal notes, as happens, for example, in the augmented scale (e.g., C, D#, E, G, G#, B). It is indeed a somewhat extravagant reasoning, but in fact, even in the use of block chords, for example, it is much easier to manage ascending chromaticism than descending.