That is possible. It was something I have just been wondering about and found really odd.
I agree it does seem
odd. I know stainless steel for the longest time was considered hypo-allergenic. That still isn't saying no one doesn't have a reaction to it, only that most do not. I buy most of my wire, Kanthal, NiChrome, SS from TEMCo, not had any issues with sickness. Have some Pirate Coils & MKWS coils bought from Fast Tech, still no ill effects from those either. The MKWS ones are NiChrome 80, and the Pirate Coils are Kanthal.
I've gotten sinus issues but not from wire, rather from the C-Pap I use when I rack out.
I have had some run ins with blood poisoning from wire due to getting poked by it. That's the only serious problem I've had from wire, which is actually understandable. Poke yourself with anything you're bound to get bacteria of all kinds into yourself.
Not gotten nausea from wire though. Kind of disliking I've not as it might seem I'm rubbing it in, and i'm not. Also a bit sad I cannot offer more help not having gotten sick off wire.