Never have had a problem with the fumes off galvanized material.
The big thing a few years back here was the hexavalent chromium terror. It would devastate all that dared breathe it. I was tested, and failed. That was the end of it. I guess the cost of mitigating that hazard wasn't worth it.
One thing we have nailed down is brake parts cleaner. Welding within 50 feet of that stuff produces a smell I can't describe. I will chew the galvanizing off grating before I strike an arc anywhere near where brake cleaner was used.