The point of floating rotors is to allow calipers with pistons on only one side. Instead of the caliper floating, or having the caliper centred and opposed pistons, the disc itself moves.
Pretty pointless on a bicycle for all sorts of technical reasons, not least of which most bike calipers are opposed piston. Even with single pistons they can easily be set up well enough that the flex inherent in the thin bicycle rotor is sufficie to centre them with the brakes applied, and this is how most mechanical disc systems wotk.
Just a pointless exercise, unnecessary extra mass where you want it the least - rotating - and theyre prone to rattling. I'd be inclined not to bother, and indeed I do not.
Happy to be corrected but floating rotors are more about heat management and preventing warping.
They don’t move to suit alignment (or that’s isn’t the intention)
People also confuse 2 piece rotors with floating rotors too.