What do you wish you'd learned at school about poetry?

[milo]

What was the sample size on that study? 5 mathematicians?

2.5 with a confidence level of 20%

plumbing and music share common roots. Animal husbandry and music share common roots. Math and carpentry share common roots. This could go on all day.

as does math and almost every single other discipline you could think of. As does poetry and almost every other discipline you could think of. Not a very strong statement.

just like every other thing on the planet. Patterns and coincidences seem to show up wherever the seeker looks.

Sure, and if you want to make generalizations that broad,
then Yes = NO and your grandma really does have wheels.
(Pardon me, but your null hypothesis is showing.)

Tough to think of an occupation you couldn't make a case for loving villanelles.

Unfetterists, libertarians (not to be confused with the political quasi-group), unitarians...
In fact, using your "equivocal connection" model, it's all occupations as well as no occupations.

War is peace.
Freedom is slavery.
Ignorance is strength.

hard to believe in a political stance as an occupation, but if you say so.