"But if the goal is to make a recording sound, as much as possible, like the source, neutrality seems important in achieving it."
No - Neutrality does not achieve that because the goal of recording is to sound good on average cheap system or boom-box hence introduced compression.
Grand piano has dynamics reaching 96dB but is never recorded like that because most of people wouldn't be able to hear it and would complain about buzzing speakers.
Guitar sound, that you mentioned, is defined by Presence, Projection, Separation, Sustain and Tone. All of it can be manipulated in (sonically dead) studio. It has nothing to do with absolute objective reality but more with the way recording guy sees it. This reality can vary so much from one recording engineer to another that some classical guitarists like Julian Bream come to studio, wherever they record, with their own recording engineer.
Well - I'm my own playback engineer and I choose the sound I like.