Many people confuse the Swiss flag with the red cross:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3663670/
And artists are no exception.
Just search for red_cross and you'll find many some that are acutally Swiss flags, e.g.
post #856445
post #837875
post #771259
I'm sure you'll find more if you search for medic or lifeguard
Remember, kids:
It's called the "red cross" because it's a cross that's red.
Updated by Furrin Gok