Is there a sound difference?
You bet.
Ooops, no their isn't.
Yes there is.
No there isn't.
What is the "right" answer?
There is a sound difference, but whether you can hear that difference is an entirely different matter, AND what you are actually hearing may not be an actual difference in the equipment, rather a difference in the noise of the equipment, and momentary clipping.
This idea of a "bright" sound. The general agreement is that you/me/we are hearing an emphasis on treble. I contend that we are really hearing more noise in the high treble frequency.
The "warm" sound, may be more noise in the midrange.
A receiver, or any amplifier, is taking a very small, infinitely minute, electronic signal, and applying a significant amplification to that signal. Any noise, ANY NOISE that enters the signal stream with the original signal will also be amplified.
My Denon receiver is extremely quite. BUT when I disconnect the DVD player (no signal to be amplified) and crank the volume to nearly max, I can hear a hiss sound through the speakers. It is not loud, in fact if the AC is running in the house I may not hear the noise, but it is there. It is not a high pitched sound, more of a sound similar to the back ground noise of an AM station. Can I hear that noise at normal volume levels? I don't think so, but then again, maybe that noise, at a subconcious level that background sound is the "sound" of that receiver.
That is the back ground noise of that receiver. Every receiver has such a background noise. Every Separate has some noise.
What those noises really are may be the greatest source of "sound difference" between receivers. Is the source of the noise an AC hum from the Power Supply? Is the source of the noise from tuner signal leakage? Is the source of the noise from an internal ground faultsor poor soldered connection? Is the source of the noise from RFI interferance picked up by RCA connections?
The modern receiver is posting SN (signal to noise) ratios of 100, 110, even 120db. Such high SN were unheard of many years ago when separates were seldom over 90db. But with the advent of the CD (a cleaner source materal demonstrating the need for higher quality amplication) and with improvements in equipment and designs, we have a quiter receiver today.
The other source of "sound" of a receiver, or an amp for that matter, is the momentary clipping that occurs on large signal peaks, often on bass heavy music, especially when combined with ineffecient speakers in a larger room setting. This type of clipping is so brief that the display circuits will not show clipping is occurring, but in fact such clipping is happening, and is audable. Better designed equipment, especially equipment with big beefy power supplies and seemingly unlimited dynamic headroom, appear to have less clipping problems than a lighter weight receiver or amp. But then again, driving more effecient speakers also solves the problem.
All in all, is there a difference in equipment? Yes. Is it something to get excited over? No. Can you, me, somebody else definitely determine the "sound" of this brand over another brand? I don't think so.