Perhaps correlation but not causation

... I wonder if historically "Baker" was used for people who were of the profession baker? It is well known that certain genetic characteristics may pre-dispose people to go to certain professions.

So having the name "Baker" would imply you are descended or contain the genes of people who historically baked.

This factor alone may pre-dispose you to becoming a baker moreso than any psychological effects.

It's a lot easier to see when you look at the children of painters, musicians etc tending to go towards the arts.