Indeed, the right Amp makes a huge difference.
But for me / in my setup, also connecting it balanced.
Have been using the hd650 with my marantz hd-dac1 on high gain.
Loved the sound. Very balanced soundsignature over the whole freq spectrum.
All instruments just sound right. But only missing in the bass.
Then I decided to terminate the stock cable with neutrik AG 4 pin xlr.
(A little hard to use the stock cable due to the type of wire, but with the right tools it can be done with good results).
The first time using it balanced with my Violectric: WOW, this is what this headphone hype is all about for all these years