Ok I would think our renowned audio techs would have some insight here. So often Receivers are looked at askance because of their all in one presentation, I understand seperates with each component having their own power supply has been given as one of the reasons for the overall improvement. Integrateds I have seen with dual power supplies have been one driving each channel not one for the amp section the other for the pre section. So guys having been inside many of these units tell us where trade offs are on receivers. I mean is it more sophisticated design better components ..both.. the 1250 for example is a quality receiver I have heard comments about its amp design, does it fall way short of totl integrates or seperates or what..what gives..
Whether a unit is a receiver,
or an integrated amplifier and tuner,
or a separate power amp, preamp, and tuner,
or a pair of mono power amps, preamp, and tuner, is simply a question of the number of boxes the stuff is put into. Counting boxes is no way to determine quality. In general, receivers are the best value, for two reasons. First, you are only paying for one box, one power cord, etc., and if you pay for the exact same electronics in separate boxes, you will be paying for the extra boxes. Second, more receivers are made, and since it is cheaper to make a lot of something rather than a few of something, this further drives the price down for receivers. Generally speaking, unless you are wanting something better than the best receiver made, it is cheaper to get it in a receiver than as separates.
Now, as a matter of fact, manufacturers tend to put their best things in more boxes, so the very best equipment will tend to be separates. But you will be paying for this doubly, for the reasons sited above.
As for power supplies, equipment in one box can have more than one power supply built in. That is something that a manufacturer may or may not choose to do.