There is a difference between "isolation" and "floating".
Power transformers provide "isolation".
A circuit connection to earth ground makes it not "floating". Remove the earth connection (assuming that nothing else is connected to LINE, NEURAL, and EARTH) and the circuit is "floating". (Note that some circuits might still have a connection to chassis via a resistor, capacitor, or power line filter.)
Power transformers provide "isolation".
A circuit connection to earth ground makes it not "floating". Remove the earth connection (assuming that nothing else is connected to LINE, NEURAL, and EARTH) and the circuit is "floating". (Note that some circuits might still have a connection to chassis via a resistor, capacitor, or power line filter.)

