I was going to stay out of this because it is the same old debate, but alas I cannot.
Rather than comment on whether an amp makes a difference or not (I haven't had one in more than 15 years so some will say I have no 'experience' with it and therefore my opinion is not valid), instead I just want to comment on the twisted logic I see time and again.
In addition to the 'trust your ears' school of thought Pyrrho mentioned, we have the 'google link' argument; ie some people just blindly post google links and don't have any experience so they can't possibly know what they are talking about.
What if you googled for links on optics and the principles of reflection and refraction and you found all kinds of links to studies that show why the eye perceives the pipe in the water to bend when any sane person knows it does not? Based on the google link argument, some posters would have us believe that such links have no merit because they 'trust their eyes' and everyone posting links to the optics studies are fools that blindly accept google links as proof while the other truly enlightened few know from 'experience' that the pipe does truly bend because they witnessed it with their own eyes.
It's simple: If you like external amps and you believe it makes a difference to your ears in your environment, then more power to you - buy the biggest, most expensive amp you can get. Just don't discount the overwhelming evidence that it just *might* not make all that much of a difference.