Elgordo - Same sort of cooling towers are used for combined cycle natural gas fired plants as well as coal plants (though I might be mistaken on the latter). They always showed the cooling towers at Three Mile Island because they are much more dramatic than the reactor so people often associate them with nukes.
Anyway, the auction copy specifies fossil fuel. A nuke would probably be a more stable/reliable power supply - aside from periodic refueling (or disaster), tends to run more consistently.