Most of the time, comments like that are just BS. But sometimes it can have a thread of truth. The HD800 is a relatively transparent revealing headphone, so if there are difference to be heard, you stand a better chance of hearing them with this headphone, compared to most others.
For example, the difference between minimum phase or slow roll off reconstruction filters, and standard "sharp" filters, can be audible. But that difference is usually subtle enough you had better use a transparent revealing headphone if you want to hear it. Since some DACs use different filters, this could be an example of hearing a difference between DACs.
That would be a logical assumption.
Take the
supposedly audible differences in DACs that measure audibly transparent, for example...
After all these years, and despite advances in transducer technology, nobody has been able to pass a blind test to prove it. It's all just anecdotal.
People making claims can sound so sure in forums or Youtube videos, but there isn't even a single documented case where someone was able to identify the differences unsighted. All these years, and not even a single one.
(I could be mistaken. Let me know if I am.)
What has undoubtedly advanced is the precision, consistency, and availability of amplifier and DAC measurements, along with a better understanding of audibility thresholds.
I think there is enough available information to disprove many of those claims, scientifically.