what I was getting at with the tire pattern is that if you try to slide a tire with an aggressive side lug sideway that lug will actually try to dig in and fold over rather than sliding (a little bit of exaggeration, as it won't really fold, but you get the point) this helps prevent your truck from sliding sideways when off roading.
True for off roading in soft dirt/mud but not true for hard surface hiway use. Those side lugs have more side slip on hard pavement than a solid rib tire.
The more rubber contact the more friction.
Anyways ST tires come in all types of tread designs from the solid ribs like a commercial ST Sailun S637 or Michelin LT XPS Rib or Bridgestone R-238 solid rib tire.
Off roaders may use a LT tire for their trailers but mostly a mud terrain or a large lug all terrain to keep the trailer on a muddy trail.
Tread rubber compound ?? I've seen nothing from ST tire mfg advertising stating they use a harder or softer rubber tread compound than than a P or LT tire.
Anyways you want a ST or LT or a P tire with less side slip on a trailer choose a tire with larger outside lugs/voids.
If you want a P/LT/ST with less side slip for a trailer choose a tire with solid rib design.