I do not know. On first thought, I do not think it is justified to think so. Normally, producers know where their products come from, and I do not see how asking them to write the truth can cost them more.
Furthermore, traceability requirements are based on many other reasons, including health and safety. Traceability is being implemented. Quebec is a bit ahead, in such areas as livestock. Still, we have not noted major repercussions from these requirements on prices.
Quality and accurate information come with a price, but that should not be justification for doing nothing.