Hi,
"floating" means undefined voltage. Expect any voltage.
To get the "expected" 20mV you should use a resistor to pull down the - before- floating signal. Then it is not "floating" anymore.
A floating signal/wire catches any environmental voltage (noise, signal...), so it is very likely that the (AC) signal with a noisy SMPS is higher than without an SMPS.
An SPMS may introduce several erroneous signals like: AC, DC, mains frequency, switching frequency...
There are several error paths where the signals are introduced. (inductive, capacitive, safety capacitors between prim and sec, SMPS transformer, wiring, flux residuals, ...)
Klaus