Is it even reasonable to assume that the volume scales match power output precisely between various models? My X4800H is rated at 125W / channel into 8 ohms while the 2310ci it replaced is rated at 105W / channel into 8 ohms (at similar distortion levels) yet I find that I am higher on the volume scale for general listening than I was with the lower powered receiver. It gives the impression that the new receiver is not putting out as much power at the same volume setting but I know that there are so many other factors, especially given the difference in years in the designs.
If both receivers are distortion free at high volume and functioning normally, then I would not suspect any faults. Even if the dB levels measure differently at the same volume number that is not a sure indication that there is a problem. It could simply be differences in design. A true fault test would require a more detailed analysis of the electronics.
If the units being compared are operated within their output limit, then at the same volume setting, they would output the same voltage if:
a) the gain for both AVRs are the same, for Denon, Marantz and Yamaha, that's typically about 29 dB.
b) the volume scale are the same, for D,M, it is -80 to +18, for Yamaha, it seems to be -80 to +16.5.
c) if a) and b) are not the same, but the models have Audyssey such as XT32, then if you run auto setup following instructions to the letter, then the units will be calibrated to output the same voltage at the same volume settings.
For example, after calibration, at volume setting = 0, you should get roughly 75 dB (could be a couple dB lower) at your mmp, and that would be the case whether you have the AVR-X3800H, SR8015, or AVR-X8500H.
So, unless you listen very loud, sitting far, and/or have low sensitivity speakers, at lower volume such as -20 to even -10, any such Denon or Marantz AVR will give you the same output at the same volume, using the same input signal and under the same conditions and settings.
For the AVR-2310CI specifically, it's a 15 year old model, so it is possible that what I stated above may not apply, but it may, depending on the internal gain structure of the specific model. Also, to get the same output you have ensure the settings between the units being compared are the same, if not sure, then reset both the factory default being comparing.