"Farther from the muzzle" as in beyond the end of the barrel.
The slide should not move nor the barrel unlock until after the bullet leaves the barrel. You did say that. That's the design.
Apex claims that some M&P 1.0's had slide movement and barrel unlocking before the bullet left the barrel. If this was true, I doubt it was common to all guns as not all were inaccurate. However, it may have been a problem with some guns because of (stacking?) loose tolerances in mass manufacturing. For the barrel to start tilting to unlock before the bullet leaves the barrel is a very, very unusual and unlikely situation. High speed photography shows that the bullet leaves the barrel before the slide moves and the barrel unlocks, if the locking system functions as intended.
Slomo Bullet Exiting Barrel - Mythbusters - YouTube
Tighter tolerances and minor changes in barrel geometry can delay barrel unlocking, but not slide movement (assuming use of the same recoil spring). This is what Apex claims to have done.
The fellow in the original video demonstrates this with the OEM barrel starting to unlock almost as soon as the slide moves back. However, only high speed photography could really confirm if there is barrel unlocking movement before the bullet leaves the barrel. This timing is in milliseconds, and manually demonstrating an event that takes milliseconds is probably not very accurate or scientific.
The Apex barrel appears to unlock only after the slide has moved some distance, thus a longer time after the bullet has left the muzzle. Apex calls this dwell time, although that is a term more correctly applied to gas systems rather than recoil operated systems.
Apex improved accuracy is due more to having a better fitted barrel than increased unlocking time, I believe.
That increased time would significantly improve accuracy in a malfunctioning gun with barrel movement before the bullet exits the barrel. I do not believe this has been a common occurrence or a real "design flaw" other than making tolerances a bit too loose for a small number of guns. Other problems, such as twist rate and barrel quality and dimensions caused more inaccuracy than "dwell" time I suspect. Those were corrected in the 1.0's some time ago and have been further addressed in the 2.0 supposedly.