No, that's not the impact of the overturning of Chevron deference here.
Statutes and regulations are two different things. Statutes are passed by Congress; regulations are created by agencies.
Chevron deference was where the courts deferred to agency interpretation of statutes. The overruling of Chevron deference means that the courts will no longer defer to the agencies in their interpretation of statutes, and that the interpretation of statutes will return to the courts (where it appropriately belongs, IMO).
But Auer deference remains. Auer deference is the deference the courts must give to agencies, including FDA, in the interpretation of their own agency regulations.
Courts get to interpret statutes (the overruling of Chevron deference), but agencies still get deference in how they interpret their own regulations.