Any process that modulates the rate, frequency, or extent of 4,6-pyruvylated galactose residue biosynthetic process, the chemical reactions and pathways resulting in the formation of the pyruvylated galactose residue 4-6-O-[(R)(1-carboxyethylidine)]-Gal-beta-(1->3)-. The galactose residue is part of a larger polysaccharide chain.