Did President Obama & Daughter Really Go for a Swim in the Gulf?

Did President Barack Obama & his youngest daughter really go for a swim in the Gulf?

President Barack Obama and his youngest daughter, Sasha, went for a swim in the Gulf to convince Americans that the waters were safe. Well, the U.K. Independent is making the argument that President Obama didn't really go for a swim in the Gulf. Here's an excerpt from the article:

So when he and his daughter, Sasha, took a dip in the sea off Florida this weekend, only the White House photographer was allowed to capture proceedings.

The official picture was intended to provide evidence that the region's beaches are back to normal. Yet it soon emerged that the private beach on which it was taken, off Alligator Point in St Andrew Bay, north-west Florida, isn't technically in the gulf. 

So, is this another controversy that could take on the proportion of a snowball rolling down a mountainside? Of course, the Drudge Report ran with it. I don't think this is such a big deal, but I am sure his detractors will run with it. What are your thoughts on this?

Photo credit: President Barack Obama & daughter Sasha (EPA)