I've had nothing but good experiences over 15 years and probably close to 100 games with STI. Never any serious damage on a single game.
Shipped both ways...though generally I prefer on the legs, head folded over, wrapped (on EMs and SS games too), and leg levelers turned all the way in. It's easier for many customers to receive their games this way.
Results/experiences seem to vary with local crews. My guys have all been great, and they tend to be consistent with little turnover. I've had the same guys show up for years at a time. Perhaps NYC gets better treatment/staff than some other areas, who knows.
Bottom line is you are ALWAYS taking a chance with shipping and you know this. "PALLET!!" isn't some magic bullet, just look at the photos I posted of that Rick and Morty. Nobody here has even provided anecdotal evidence of serious damage when shipping games on legs.
Does it happen? Of course. How could it not?
U ship, U pray.