Originally Posted by
AppleApe
Thanks! That made sense.
I have a co-worker who was born in Los Angeles and at time of his birth,
both of his parents were naturalized US citizens originally from Switzerland.
The interesting thing was that his Swiss ID documents show birthplace as
the canton that his parents were originally from!

That is because it is
not the birthplace, but the home place, i.e. place of origin.
It is a different concept.
Originally Posted by
catandmouse
The place of birth is not recorded on any official Swiss document. The only thing recorded is the "place of origin". On my documents that includes the town and the 2-letter canton designation.
Swiss birth certificates and other vital records will absolutely have the place of birth.
Swiss ID documents do not because this has not been deemed essential to the document. There are many variations like this. French passports show the bearer's address, other passports do not.
Once you equate the Swiss place of origin concept with citizenship it makes more sense. Places of birth can be random. Citizenship less so - it is usually associated to your parents, i.e. your origin.