New Rock - are they the types with massive thick soles?
It's not just a question of sole tread, but also sole material, flexibility, waterproofness etc. In general boots that are designed to be fashionable rather than functional are not what I'd want to be walking around Antarctica in.
If they are the thick-soled types, then don't even think about it, it sounds like an unneccessary handicap to give yourself to me. If in doubt get in contact with your cruise company, they sometimes have lists of recommended kit and may lend/hire boots from the ship for shore visits.