Yes, Globemaster has anti-reflective coating on inside & outside of the crystal. It was my daily wearer for work trips, and having accumulated ~200,000 flight miles around the world with mine since getting it in early 2016, I've fortunately yet to get any scratches on the outer AR coating.
During my first year 2 years of ownership, I did have to send it for a warranty fix on 2 occasions, because of white flecks getting stuck to the inside of the crystal. Both times, it was attributed to small specks of superluminova that had come off either a hand or hour marker. Hopefully just an early-production run quirk, as mine was one of the very 1st Globemasters delivered to the U.S. As I recall there was a very long wait between when this model debuted at Baselworld 2015, coinciding with the introduction of METAS certification program, and when the supply of this watch finally trickled into OB's almost a year later.
This modern iteration of the C-case definitely gives the GM a very different feel compared to the lug shapes on the '56 pie pan Connie. Between the 2, I prefer how the Connie's lugs wrap around the wrist with a downward slope, compared to how the case curvature of the Globemaster (and the lugless Manhattan) actually flare upwards away from the wrist.
I personally prefer a down-ward curve, to wrap around the wrist. I came very close to purchasing a 2013 Sedna LE Constellation, and also contemplated upgrading to the Sedna Globemaster, but decided in the end I that for a watch
that expensive, I wanted to have a case shape and/or lugs that better contour to the shape of one's wrist. Closer to what AP does on its Jule Audemar lugs, or VC's 4400-caliber Traditionelle, and of course, the Omega Constellations of the 1950's from within this collection's own DNA.
For the 70th anniversary of the Constellation in 2022, I'm hoping Omega introduces a heritage model with a case & lug design that slopes downwards toward the wrist.