Imagine you have noise induced into your RCA cable. This noise will be induced at a certain level, measureable in volts (speaking simply here, its abit more complicated). So you have a 'noise floor' at a certain level in your signal cable. Noe you have two h/u's one with a weaker signal voltage (say .25 volts max0 and one with a higher possible signal voltage (say 8volts max). You try one h/u, and then the other. Each setup has the same noise introduced into the cable at the same level, but one h/u is supplying a signal voltage that exceeds this noise level by a greater amount. In effect, the hotter signal voltage has created a wider gap between intended audible signal (from the source unit) and the unintended noise level. This means, at any volume level, the system with the higgher signal voltage will display the noise level at a less audible level.
If you set your signal chain as you suggest, you have basically rediced the signal cable run from the EQ to the amps at the lowest signal level possible, making any induced noise as loud as the system possibly can, when we would want just the opposite. You will decrease the gap between induced noise, and proper signal.