Earlier quoted context omitted.
We should. There are so many adults who think it's cute to make up their own phonetics not realizing the whole purpose is to reduce ambiguity, not make it fun to spell things aloud.
As an adult who tries to remember the NATO phonetic alphabet but can't because I only use it once per month, I don't make up words "for fun" or "to be cute". I do it because I can't remember the NATO word. Compared to just saying the letters, the words I choose certainly do reduce ambiguity, even if using the NATO alphabet would go even further.
After doing that for a week or two (I was bike commuting at the time), I had it pretty much memorized.