Yes. Once the arc is established, supplementary cathode heating is not required. (However, it does increase the cathode life slightly, but uses more energy too.)
Cold Cathode fluorescents don't rely on the cathode getting hot. It would have to get to bright orange temperature before it started becoming a thermionic emitter. They just operate with a higher cathode fall voltage to get the electrons out of the metal (which is less efficient than the conventional thermionic cathode tubes). This also disloges the cathode material, but the electrodes are normally formed from the inside of a cylinder, which means most of the disloged material ends up sticking to some other part of the cathode and it doesn't wear out very fast. The electric field inside a cylindrical electrode doesn't increase as much, which also prevents the ions and electrons picking up large energy just before they impact the surface. CCFLs normally have a much longer life than conventional fluorescents because of this. (The tiny ones used in scanners have much simpler cathodes and a much shorter life.)
Circuitry designed for dimming fluorescents will provide supplementary cathode heating at reduced arc current to ensure the cathode stays at thermionic operating temperature. (Mostly dimming ballasts provide the supplementary heating continuously regardless of the arc current.)