Some reassurance about "contains sulphites"

We're being asked more and more about the statement "contains sulphites" (it is also permissible to spell them "sulfites") on wine labels. Since last November, effectively every bottle of wine has to carry this announcement, as part of EU bureaucracy in the interest of those who may have an allergy to sulphites. The link offers some clear explanations from a Stateside perspective, and also contributes to what I hope will be a slow accumulation of true-and-false about organic wine (supposing we can get some agreement on what organic wine is).