I don't view it that way. It's got to be a whole lot more shallow, and that means that it would weaken the storm.
Shallow water doesn't weaken a storm. Cold water does.
You may want to read up on Alicia and how it used Galveston Bay to approach Houston.
You know, I recall a Tropical Storm Beryl forming over Lake Ponchartrain. That has to be shallower water than Galveston Bay, and it actually contributed to the formation of a tropical storm.