The question is, do you want one that *has* a distinct sound of it's own? Or one with the most accurate reproduction? The former will be a form of fixed tone control you may not want if you're an equipment junkie and change components frequently. Maybe it fits with the next gear iteration, maybe not. This type of "voicing" is one likely culprit for what I consider to be the "system synergy" canard.
Yes, this remains a key question for any budding audiophile.
It's quite important in that knowing exactly what you want can save you a lot of time and money in the coming years ahead.
It's also the kind of question that I never once considered. For some unknown reason I just assumed that the more highly regarded equipment espoused by the magazines that I was reading would inevitably be more accurate.
Obviously, that was not the case back then, and I doubt whether it's the case now.