Yep, there are no shortages of forum hearsay, it is great to know that I am not the only one to mention "logic". Most of those forum talk/claims are not based on logic and are often just as you said, opinions, and I would say opinions based on beliefs, misconceptions etc.
As mentioned, it really depends on a few things, such as the specific equipment/devices, the user's listening habits etc. For example, I don't know which AVR you have, but if you have something like the lowest Yamaha, Onkyo, or even Marantz models (such as the NR series), and have not too easy to drive speakers and you listen to moderately loud levels, then you most likely "are missing out.....", by not using a good integrated amp such as the Yamaha A-S1000 series AVR, or the equivalent (in price for example) Marantz integrated amp. If you are already using a midrange to upper midrange AVR such as the RX-A6A, Denon AVR-X4800H or Marantz Cinema 40, that I would bet 10 to 1 you are not missing anything. Stereo amp is one component in a hifi system, other key factors are obviously contributors, and that include speakers, room/placements, room correction, media players, contents, and more...... So, people who make general statements like what you might have been referring to, cannot be taken seriously, though sometimes I read those (plenty of those on AVS forum, I guess because there are huge number of posts so they have the benefits of volume) and ASR too those harder to find lol) for entertaining.
Agreed, that is very difficult to do, I have done it in single blind but not double blind.