The expression "on a tangential note" results in not a single hit in a Google search, but from the restrictive search "a tangential note" the very apparent shortcoming of the Google search procedure metamorphoses into a successful data gathering quest since the number of hits for "on a tangential note" that results from a verification of the books listed there is outstanding; not to say that this expression is of recent origin nor unique in its fostering the term 'tangential note" ((The Ecological Implications of Body Size - 1986), a plethora of occurrences of "on a tangential note" can be found—and I don't think I am far from the count in spite of my summary checking—, almost all of 21st century origin. There is however the very remarkable "as a tangential note" (1, 2000), (2, 2014), …), which will have its interest in the following.
There is another expression, to which, prima facie, "tangential note" owes a lot (see ngram below); its meaning is quite
factual (SOED a note made or placed at the side of a page), but it is found in the expressions "as a side note" and "on a side note" (ngram shown below) where it takes on a figurative one (I believe that "in" would be used to indicate that a side-note is the location of something, not "on").
A controversy bearing on the use of the prepositions "as" and "on" has come some time ago to a resolution, at least as decided by the ELU community: see "as a side note" vs. "on a side note".
Question
Is "as/on a tangential note" to be taken as an exact synonym to "as/on a side note", or, given either choice of preposition in the first "as/on" group is there one in the second that would have the same meaning?; the following reference would tend to show that but is not explicit on that fact: On A Side Note Meaning And Uses.
Provided the meanings are one (question above) or that there exists at least a sufficient parallel between the two expressions, is the same polemic, as examplified in the ELU question above, to be repeated for "as/on a tangential note"? More explicitly is "on" to be ruled out as illogical (user JLG) or put differently, spurious (user FumbleFingers)?



