You would be wrong, in a way, with that assumption.
The released track is based on a bootleg which had Madonna's accapella over the top of the Black Legend "Trouble with Me" bassline.
Rather than pay the absolute fortune that Madonna would demand for the use of her vocals on the released track, they simply re-recorded them with some italian bint.
As has happened with Blownout/Cuban Boys upcoming release of Rhinestone Cowboy, it can often work out cheaper to get someone else or even the original vocalist to re-record the vocal rather than use a sample.