Using a single power amp with an impedance (Zin) of say 47K, the pre-amp sees a 47K load. If you connect an additional amplifier (eg. active subwoofer) with 30K Zin, the pre-amp now sees a more difficult 18K load. The calculation is (Zin1 x Zin2)/(Zin1 + Zin2)
The higher the output impedance (Zout) of the pre-amp, the tougher job it will have. If a pre-amp has a Zout of say 250 ohms and is driving an amplifier with 47K Zin, the ratio is '188 x'. But driving amps of 47K Zin and 30K Zin, the ratio will only be '73 x'. The higher this ratio is, the better the drive, dynamics, lack of compression etc will be. The preamp will have an easier time, a bit like using overdrive on the highway rather than 4th gear.
I read somewhere just recently that sound degredation is even greater when the second amp (or subwoofer) is connected but turned off.
An amplifier designer once told me that adding a second amp will compress/flatten the wave form and degrade the sound (I hope I have remembered that correctly). I interpreted this is meaning that adding a second amp (regardless of whether the same type as the first amp) WILL degrade the sound but to what degree,and whether it is audible, will depend on various factors like preamp Zout, Zin of each amp, and maybe even other factors that I'm not aware of.
I would love to hear Frank's views on this.