Does the sulfur content of calcite microfossils reflect seawater [CO3=]?

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Does the sulfur content of calcite microfossils reflect seawater [CO3=]? The [SO4=] concentration of seawater is constant The [CO3=] concentration of seawater varies with pH and total dissolved inorganic carbon dioxide. Hence the [SO4=]/ [CO3=] ratio of seawater is variable. When calcite microfossils are formed (incorporating ~0.1% of SO4= into CaCO3), do they reflect the [SO4=]/ [CO3=] of the seawater the organisms grow in?

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The normalized SO42- values to a constant Mg content yield SO42- profile, which is negatively correlated with CO32- as expected.