Is the relation between OD reading and cell concentration (cells/mL) of bacteria different in various culture media?

For instance, assume that the cell concentration of S.pasteurii cultivated in an Ammonium YE medium is estimated by the expression 8.59* 10^7(Z^1.363) where Z is the reading at OD600. Now, if I cultivate the S.pasteurii in an Acetate YE medium, is it possible to use the same equation to estimate the number of cells according to the OD readings?