In most cases it is more about "power" requirement than anything else if you have a mid level AVR such as D&M's X3000, comparable Marantz and Yamaha's RX-AX000 series models.
Let's say you need 60 W into 8 ohm, 90 W for the loudest peak in movies and music you listen to at you MMP, if your AVR is rated for 100 W into 8 ohms, then adding an external amp will not help in sound quality that is for the most part much more affected by the quality of recording, loudspeakers and their placement in a particular room.
I dare say most people will actually (that they would convince themselves) hear "better" sound quality for reasons including:
- They always wanted to do it, after reading subjective reviews, forum hearsay etc. that how the sound stage would open up, much more dynamic impacts, harshness gone etc etc, even night and day differences, so there's got to be at least some subtle but clearly audible difference from their new investment right? That is, expectation, Placebo are there waiting to help, and they rarely disappoint.
- Once they got their always wanted external amp, they would feel very good, proud, confident and ready for the sound quality improvements that they expected... Most would likely crank things up as they now have no fear of clipping, whether it would be speaker, amp or both clipping, and would immediate feel the impressive dynamic impacts on action and science fiction movies that previous they probably won't push their AVR that far, or if they did, they would back right off out of concerns of damaging any components.
I might have been describing my own experience, only after some time, one may realize what the real reasons are, but would still keep their amps or even continue to add and upgrade (I did..), but for reasons other than sound quality improvements. Many experienced audioholics must have similar experience to mine, but would we convince anyone, not likely but some appeared to have listened to some of us, and put their priorities on other things that matter more, without going through what we went through, while the majority really came and asked just to hear what they wanted to hear (support, confirmation..), and then went ahead and got impressed..