It may be a foolish question, but WHAT did you not like about the sonic signature/sound of the HE-6 (on the various amps you tried) and what would you like to 'change' to the HE6 sound... what the amp should be adding/changing in the sound I mean?

If you want to go louder than going from Ember (around 2W) to Lyr (around 4W) is just 3dB. The 5W Mjolnir will add another 1dB.

a 250W/4 Ohm amp will be able to bring 20W to the table...
The HE-6 may not like that as it is rated at 6W but can easily handle short peaks of 20W I reckon.
It will play 6dB louder (substantial) than the Mjolnir.
With 20W the SPL would reach 120dB !

If it is a sound signature/quality issue than finding an amp that changes the signature THAT much will be hard to find IMO.

It may be a foolish question, but WHAT did you not like about the sonic signature/sound of the HE-6 (on the various amps you tried) and what would you like to 'change' to the HE6 sound... what the amp should be adding/changing in the sound I mean?

If you want to go louder than going from Ember (around 2W) to Lyr (around 4W) is just 3dB. The 5W Mjolnir will add another 1dB.

a 250W/4 Ohm amp will be able to bring 20W to the table...
The HE-6 may not like that as it is rated at 6W but can easily handle short peaks of 20W I reckon.
It will play 6dB louder (substantial) than the Mjolnir.
With 20W the SPL would reach 120dB !

If it is a sound signature/quality issue than finding an amp that changes the signature THAT much will be hard to find IMO.

Not at all. The speaker amps tend to give more body to the HE 6, to my ears. For example, the Mojo is loud but not necessarily three-dimensional (I am struggling for words here) compared to my "ordinary" JVC receiver (in the context of quality speaker amps). Or maybe the JVC should just do it. But, in this hobby, one always wonders what one is missing out.