Gary is right. Because Live View uses contrast for focus, it does not use AF fine tuning. The Phase Detect AF system does use Fine Tuning so one difference would be that AF fine tuning is required.
Live View requires contrast, so low contrast targets are problematic.
Both AF methods are not perfect. LensRentals and most automated tests uses dozens of AF cycles to test focus. There is a significant amount of variation with AF in general, and occasional completely missed focus. That's just life. Because there is variation with both methods, Lensrentals found Phase Detect was better some of the time, but statistically Live View is more accurate.
LensRentals also found newer lens models produced better and more consistent test results than older lenses. And some lenses have flaws that show up through age/wear over time.
If you have a faulty lens, all bets are off. Live View can get close, but performance will suffer. Faulty lenses are hard to identify - it may look like a focus error or even just a little softness.