I agree with you and TDS... hands are free, but setting and maintaining good posture as per pitch location will help deliver and support the hands on the right plane. Hitters do get fooled though, and those swings tend to rely on the hands more.Load takes the hands to a consistent spot.
Tilt (or no tilt in the case of a high pitch) helps them deliver the barrel to the right spot.
There are always some pull-in/let-out hand adjustments during the swing, particularly for off-speed or movement pitches, but the utility and requirement of tilt is very evident here.
just my two cents