I'm highly familiar with geology and can tell from looking at rocks - even on television what their origins are. So please bear with me as I explain an inconsistency I've noted.
The island is a volcanic island. Regarding volcanic rocks: there are dark coloured volcanic rocks like your standard basaltic lava's, and some light coloured volcanic rocks like Andesite or Rhyolite. So far, I've seen no evidence of lighter coloued volcanic rocks on the island. That doesn't mean there aren't any, but I've not seen them. Now - this is kinda important. When a volcano is actively exuding light coloured volcanic rocks, usually significant volcanic explosions also occur. The light coloured rock is usually filled with gas and steam - which while it's under underground pressure - remains in a fluid state. When that pressure is released, that rocks tend to solidify suddenly and also expand. Pumice is such an example.
Ancient statues in Egypt were usually made from Granite (which is an igneous rock like Lava - it just forms deep underground where it can cool slowly and form those black and white crystals you see in it), or Marble - which is a metamorphic rock and can be any colour, from green to red, to black to white. The LOST statue appears to be made of Marble - a buff coloured Marble.
So - here's my point. There's not going to be any Marble at all on that island. And even if there were any Andesite or Rhyolite on the island, those volcanic rocks don’t look like the material the statue is made of. Geologically - marble can not form on the island and won't be found there. So the Marble had to be quarried off island somewhere.
Now - guess where there's lot's of buff or beige coloured marble found in the world? Go on - guess.
Make of this info what you will.
Article on the marble in Tunisia: http://www.tunisiamarble.com/en/Content/resources.asp