These things only matter to guitarists who like gooning out on details. We all have our preferences but the listener, non musician listeners, they don't know or care.I disagree Character & atmosphere are important, and they will make a difference. A solo will not sound the same on a superstrat compared to a LP, even if the performance is the same. Cleans won't sound the same on a strat compared to a 2 humbucker guitar.
One gives you the right harmonics that will make you get all emotional and the other one just sounds okay. These details are important...
Not saying pick up any ol raggedy bullshit, and yes having good gear is nice for a psychological vibe but no one has ever discovered that the secret to a platinum or legendary album is because the guitarist switched from alder bolt on guitars to mahogany set necks