When you look at the response variation its slightly less than one dB and I doubt most people would even notice that difference. I suspect that the lower damping factor when using a higher source impedance does indeed make the headphones bass "character" sound a little "under damped". (I'm reluctant to use the term damping factor when talking about headphones but I also don't want to start using vague subjective language).
In my own case, despite having two dedicated headphone amplifiers, both with a low output impedance, I mainly use most of my phones (HD600 included) on the headphone output from my Arcam A80, it's a simple L-pad resister network connected to the main amplifier output. I use it this way for convenience more than anything else but to be honest it sounds quite good. I also suspect that its higher output impedance is having some sort of effect on the lower registers. Most of my preferred headphones are higher impedance units with my Beyerdynamic DT800 being the 600 Ohm edition, and at the other end of the spectrum my AKG501's are about 120 Ohms.
Over on
https://education.lenardaudio.com/en/ , he has a few articles that talk to the whole issue around damping and the speaker "Q". you will need to go looking under the subject headings to search them out but it's an interesting read.
This has been my experience as well; I have never found the HD600's or my DT880's lacking in the lower registers and even my AKG501's with Dekoni velour ear-pads, sound well balanced. When looking at most Gras and B&K measurements these headphones don't fare well with respect to response curves, but I also suspect that the Harman target curve has allot to do with this. In my opinion allot of the newer phones sound too rich in the lower registers as this is the general direction of the Harman target curve and consumers have come to expect this as normal, but now I'm going off topic and sounding like a grumpy old man.
LPSpinner.