Yepimonfire, you remind me of me circa my first A/V adventure.
Having amps can only help with one thing. Giving you more power. That also means that the amp in question must have more capabilities than the amp in your receiver. That gap is getting more and more narrow with every generation of AV receivers. What happens after all the extra power, well, that is on the speaker end of things. In a perfect world we would have infinite watt amplifiers with endless supply of juice from .0001hz to 50billion hz and be able to drive .001 ohm to eleventytrillion ohms. This will give you headroom, and that's the end of the story. It's not going to be magic, but in certain instances it can help.
In a 5.x - 11.2 speaker system the onboard amp may just not have enough heuvos sometimes to push all of your speakers at once to that next level when playing back dynamic tracks that pull lots of amps. This can even happen at moderate, not ear bleedingly loud levels. On one of my older receivers for example, I would notice sometimes when watching certain scenes in a movie where all speakers would get excited at once the oomph would get lost. I can only describe it as muddy. Fast forward to my new receiver and that is greatly reduced and I don't notice it anymore. Maybe it would improve with some seperate amplification maybe not. It would have been much cheeper to get powerfull amplification and only upgrade the processing as time goes on. That's a fact.
If I could do it all over again... well I would have invested in seperate amps. I would have gon the pro amp route myself, but I'm sure other options would be great too.
Whilst I know, and share, your love for flat response, It's not always realistic in a room that you also have to live in though. Take for example the room you have set up, you're definately not following the prescribed method for perfect sound with the speakers up against the wall as you have them currently(unless the set up has changed from your other thread). I hope you don't feel like I'm flaming, it's just more of a "people in glass houses" kind of thinking. It's about getting the best out of the situation within the constraints that you have.
The fellas who like tube amps may have other constraints that they tame with the tube. Plus it's a cool throw back. I think it's mostly a waste, but I bet a tube amp would be about the most fun a guy could have in DIY. Some use EQ, audyssey, and other forms of correction to wrangle problems down. Some use room treatments.
My idealist preconceived notions have ebbed somewhat I suppose and I'm more forgiving as the more I approach the "doing it perfect" I watch the time and effort and $$$ increase in orders of magnitude every step of the way.
Back to the original question, yes, a powerfull seperate amp can provide some huge benefits despite some of the drawbacks.
PS - And definately tube amps are way more interesting than boring old SS. Know your roots!