Many people suffer an allergic reaction to certain sulfites, including those that are commonly added to wine as preservatives. However, since there are several wine makers who add sulfites to none of the wines they produce, people who would like to drink wine but are allergic to sulfites can drink wines produced by these wine makers without risking an allergic reaction to sulfites.
Apart from sulfites, there are no substances commonly present in wine that give rise to an allergic reaction is an assumption on which the argument depends.