The Ideal situation is to use an earth rod to take any fault current to earth, if you use the genny with floating, IE no earth, any fault current to a metal cased appliance will not trip the breaker and could be lethal, Gibbo is right, the genny is better wired neutral to earth, not the lead, then no matter what's plugged into it at least the genny's own breaker will trip.
A floating earth is a large conductive mass with no direct connection to earth, to which all earths are connected at neutral potential, to protect persons in or on the mass and could apply to a metal boat, building or platform.