> No one argues with pronouncing the first syllables of those words with the "air" sound.
I do.
Never met anyone who would rhyme the first syllable in "character" with "air" - maybe this is true in some US accents? I'm British and would say "character" as "kah-rik-tuh" or "kah-rak-tuh" which definitely has no "air" sound anywhere.
For me, by this logic, it would be "Vair-Kar"