You can add resistors in series with your headphone with all amps. Almost for free. There's nothing special with «ohm output» headphone amps. Some (OTL) tube amps have it by design, others add it to build up good synergy with a specific headphone (HDVD 600/800 and HD 800). It's in fact a cheap trick. And it's not ideal in the case of the HD 800 – which would benefit more from an increase below its resonance frequency than at its resonance frequency. The latter just compromizes transient response instead of really equalizing the frequency response.
Much of the legend about the «hard to drive» HD 800 has its cause in the bright characteristic calling for a compensating amp. Hence one that's not exactly neutral. And (therefore) most likely not exactly the best when it comes to transparency and accuracy.
Better than relying on questionable cheap tricks is to use an equalizer for the same purpose. Which enables you to use a more neutral and accurate amp. Maybe it isn't even too expensive. If your DAC can drive headphones directly, for instance, it's even free of charge.
Of course it's about enjoyment, and that's not so much dependent on the price of the amp – according to my experience.
So my approach is to equalize. The HD 800 can use some boost in the low bass (like most headphones, BTW) and some decrease of the 6 kHz range (roughly spoken). And all of a sudden the need for a dark and full sounding amp is gone.
Said it better than I could have myself, thank you.
To add, I've heard the HD800 on a wide variety of amps ranging from an android phone all the way to the WA234 Mono (which certainly fits the "expensive" bill). Do expensive amps sound awesome with the HD800's? Of course! The 234 Mono was the best I had ever heard the HD800 sound. But, are the HD800's crippled in any way compared to the more expensive amps? Of course not. Cheaper amps can make the HD800 sound excellent, and adding well implemented equalization boosts the sound quality considerably.
As far as high output impedance amps go, the Crack is 120 ohm, which is pretty damn high and isn't very expensive at all. But, I intentionally stayed away from that amp because of its high output impedance. Looking at the HD800's impedance graph, a high output impedance wouldn't change the signature for the better to my ears, and (like you said), a more linear amp with a well implemented parametric EQ will get me far closer to my ideal.
It's a shame, though, I LOVE the look of the Crack (with a few tweaks) and really enjoyed building my Quickie. If I do ever have a few hundred bucks burning a hole in my pocket, I may give it a try just to get a taste of the relaxed transient response (which isn't what I would want for every day listening, but might be nice once in awhile).
But I think one thing to take away from this whole conversation in general is the fact that everyone has different tastes, and we have amps that provide different flavors to different people. Jibzilla prefers higher output impedance amps and their sonic sound, while others such as yourself prefer a more neutral sound. It's why we should be more inclusive and not try to apply our tastes and preferences on others, as we may not share them. If people are happy, we should be happy.