Obviously you should have bought the 250 ohm DT880.
Actually I'm telling lies when I say I couldn 't pick a fault with derbigpr's remarks. I've certainly found a greater variation of performance than he seems to suggest, but he's right in saying that the sound of the amplifier with speakers is the sound you're going to get with headphones--at least 90% of the time. Obviously that means you need to choose a good sounding amp if you want good sound. There is nothing inherently inferior about an integrated or receiver; it comes down to the design and, as with all components, synergy. IOW, if you've got bright, thin-sounding headphones you don't want an amp that exaggerates those characteristics.
So, to recap, there is no mystery surrounding integrateds and receivers in terms of driving headphones. It all comes down to electrical circuits boosting signals, and how well they do that will determine the sound you get. The problem with Head Fi at the moment, and in fact throughout its history (I've been here since 2001), is the myth of the 5c op amp. We've been through it all before so many times. It gets challenged every so often, thoroughly disproved, yet rises again each time, seemingly stronger. Dare I suggest there are powerful commercial forces at work? Nah, I daren't.