You can certainly get "tidal" anomalies due to the relative steepness of the shoreline. And, you get "spring tides" that far exceed the "normal" tidal ranges. And a recent study has shown that by 2050, California average tides will be five feet higher than they are now (due to the effects of global warming, so this is certainly up for dispute).
But, in the question as stated you have an awful lot of constants that need to be overcome to get the answer presented.
The force of gravity alters very little at any point on the surface of our globe.
The tidal force of the moon may have a slightly increased influence along the equator because there is greater exposure than at the poles.
But, to suggest that there is a "swollen" area between the two capes seems to be a stretch of reason and logic.
There can certainly be temporary anomalies caused by underwater volcanoes and earthquakes. These are measurable and may show an increase in the apparent height of the water. But it would be transient and normal levels would soon reassert themselves.
Tom, I have one question that might show us the answer: Did this revelation come from Al Gore or from one of his pet projects?
If that answer is "yes" it would allow us to throw this theory into the dustbin of pseudo-science like the vast majority of pronouncements by that a-hole.
A considered response by,
Crusader Rabbit