Maybe a little? I EQ the HD 800 whereas I usually leave the HD 650 stock, so I wouldn’t be surprised if the differences there are mostly down to tone (650 being a little mushier compared to my HD 800 when EQed).
Even if there are differences, I’ve never found HD 600 or 650 to delete entire instruments, even from faster or more crowded classical arrangements. Of course, if that’s your experience more power to ya, I just don’t think something so specific/personal like that would be enough for me to give up something as fundamental as midrange tuning, yk?