From random searching around it seems technology helps a lot. There are definitely fewer icebergs at that location these days but despite many reddit commenters claiming none it seems there are a few icebergs that make it there: map of iceberg locations

Sinking location: geohack.toolforge.org/geohack.php?pagename=Sinkin…

Apparently radar makes sure ships know about any icebergs well in advance, and there are also ice patrol planes and satellite tracking to make them pretty much a non-issue. Unless you’re the MV Explorer cruise ship that sunk in the Antarctic after hitting an iceberg in 2007. But that was outside of shipping lanes and monitoring areas as far as I can tell.