Spiroh, the question revolves entirely around playback volume. There's no magic that comes into play when the amplification process takes place in two or three boxes rather than one. If the amplification takes place with level frequency response and inaudibly low noise and distortion within the designed power limits(which your 3808 certainly does)nothing better than this is possible, regardless of price.
As with nearly all receivers, the Denons are class AB amplifiers.
Since you say that you can go "really loud", you can't get better sound by spending money on something that has no benefit at those levels, but could just go even louder(possibly at levels permanently damaging to your hearing).
