Sorry Seth, but I doubt it. I am still assuming... but let's assume the 3800 has 2X15,000 (more likely 20,000) uF for the 7 channels. Since it uses one common P/S for all channels, if you use it to listen to 2 ch stereo music the whole 30,000 uF will be available for only 2 channels. Open up the Rotel and I would bet you won't find much more than 20,000 uF total in it. Each of the RX-V3800's 7 amp has to output up to 140W into 8 ohms or at least 70W into 4 ohms continuously so I would say it's output stage has got to be as stout or stouter than that in the 60W Rotel.
If you have the RB-960BX, you are right it is definitely a stout amp and will certainly come close to being as powerful as the RX-V3800. I have no doubt that power amps beats AV receivers each and every time in terms of real power output, but a 140WX7 38 lbs near flag ship AVR should be able to beat an entry level 60W 20 lbs stereo power amp most of the time.
For you, I decided to get out of my lazy mode and do some research, I found the following:
HCC Tech Labs tests on the RX-V3800:
http://www.homecinemachoice.com/node/7109
Manufacturer’s Output: 140W x 7
channel into 8
152W (2 channels driven, 8 ,
0.5% THD)
259W (2 channels driven, 4 ,
0.5% THD)
97W (5 channels driven, 8 ,
0.5% THD)
175W (5 channels driven, 4 ,
0.5% THD)
Fidelity firewall: 145W
(0.032% THD, 8 , 1kHz,
excellent)
THD @ 50W: 0.0006% THD
(1kHz, 8 , excellent)
Frequency response: 20Hz-
20kHz +/- 0.15dB (good)
The basically same (amp section) RX-V3900:
http://hometheatermag.com/receivers/yamaha_rx-v3900_av_receiver/index3.html
....the RX-V3900’s left channel, from CD input to speaker output
with two channels driving 8-ohm loads, reaches 0.1 percent distortion at 190.4 watts and 1 percent distortion at 220.6 watts.
Into 4 ohms, the amplifier reaches 0.1 percent distortion at 239.1 watts and 1 percent distortion at 282.9 watts.
Compared above figures to Rotel RB-960BX:
DIN output.............110 WPC, 4 ohms, 1 kHz, 1% THD
Anyway, time to draw your own conclusion, but before you do, I hope you would get someone to help you do some blind tests first. After that, I would have to agree at the end of the day it is what you hear that counts.
Just an aside, I owned AR speakers before so I do know most of them are 4 ohm nominal with sensitivity at around 85 to 86 dB/W/m. The AR18 though, from what I managed to google, are rated 8 ohms. How sure are you that it is 4 ohm nominal. Remember most ohmmeters measures d.c. resistance only, not impedance. Just because you heard distortion due to clipping it doesn't not mean it is the amp, it could be your speakers too. Let's face it, AR18 speakers are among the newer vintage AR speakers but still could have been around for 30 years, the liquid used to cool the voice coil could be drying up so I wouldn't push them too hard.