AVR's are always power supply constrained.... if you hit it with a bunch of full range speakers and have impedances that dip below 3 ohm in the bass, most AVR's will get into trouble - they haven't got enough current to cope.But this is a 2 channel number right, will is do this with 5 channels full range and 4 heights is the Q?
So yeah the number of channels, as well as the speaker specs (impecance) etc... all factor in.
if the speaker was previously crossed over before the power amp circuit (so you weren't using its bass capabilities) then most likely in a full range config, it will be more demanding.
But it really depends on the speakers! Taking my front L/R off the AVR and putting them on an external power amp cleaned up all the channels - the AVR was not coping with the 1.6ohm minimum impedance... (and yes I run my fronts full range - they are specced down to 24Hz)