If the a/c was on A/P, why did it overshoot the g/s intercept by 2/3 of a mile(200 feet).Based on my ruff numbers it had to hit a 4 degree glide to catch the g/s. Are we sure that the a/p was on?
May well be using V/S as pitch mode, with GS armed (or maybe not). That would allow LLZ tracking but explain vertical offsets.
Typical technique to capture GS (from above) would be V/S, as Lvl Chg won't command sufficient V/S, particularly while decelerating.
Capturing GS from above is not recommended (I think FCTM refers) but not generally forbidden by most carriers as it is too restrictive when less than ideal vectors/descents are provided.
I think we (pilots) are all fairly familiar with this scenario