Just a throwaway idea, but instead of radiating the whole ocean evenly, why not dump it in the already highly radiated nuclear weapon test zone? The US blow aro

Just a throwaway idea, but instead of radiating the whole ocean evenly, why not dump it in the already highly radiated nuclear weapon test zone? The US blow around 100 nukes and I wonder if a few thousands of tons would actually do much worse compared to what already down there.