Assume the 15 amp unit will have #14awg internal wiring. (wire rated for 15 amps)
Assume the 20 amp unit will have #12awg minimum internal wiring. (wire rated for 20 amps, minimum)
Assume all other components in the 20A unit is rated for 20 amps minimum.
Theory, less chance of VD (Voltage Drop) with a 20A rated wiring for a power amp when the music source being fed to the amp’s inputs is high dynamic material passages with the amp being pushed above a moderate to loud level.
FWI, if the 20A unit has a captive power cord, and is UL Lised, it will have a NEMA 5-20P Plug that will only plug into a NEMA 5-20R 20A rated wall outlet. (Power cord #12awg wire, minimum.)
In your case I assume the Furutech duplex receptacle is a NEMA 5-20R, 20A. (I don’t think Furutech makes a NEMA 5-15R, 15A.
If the power conditioner you buy is a 20A unit with a 20A IEC inlet connector, and a power amp will be plugged into the unit, you might want to use an audiophile grade power cord that uses an equivalent wire gauge of 10awg minimum.
.
I installed a dedicated 20 amp circuit in the wall and use a very high end furutech outlet.
In wall branch circuit wiring 10awg? 10awg wire, best practices, IMO, for an audio equipment dedicated 20A branch circuit. (Circuit breaker in electrical panel, per code, 20A.)
.