There's no appreciable difference in this case. I see some slight recovery of the shadows in the walkway on the auto-corrected one, but as to whether it's more accurate or not is up to interpretation. You'll want to take test photos in a situation with more difficult lighting to better evaluate if that feature is good or not. Try shooting someplace with a more drastic mix of dark and light. All modern cameras perform very well with good lighting that's evenly distributed like this.
Well, since all people don’t see color the same, and also since the vast majority of displays are not calibrated anyway, which means that the exact same photo displayed on different devices (different phones, tablets, laptops, monitors, etc) won’t look the same, then it really doesn’t matter. What is accurate to one person may very well be inaccurate to another.
My advice is stop worrying and just go take photographs of thing that you like and make them the way that you like. It doesn’t matter what a bunch of strangers think about your photograph.
Cheers