It comes up a lot with trucks and trailer towing. Higher pressure makes the tire more stable to sideways or lateral movement. If the rear wheels, for whatever reason, move laterally more than the front, sway is introduced.That's one I haven't heard. What is the reason for this?
Good suggestion to raise your gaze to look further down the road. This is a common technique taught in motorcycle riders education, but I've not seen it called out in car driving lessons. Looking too close at the road in front of you could also be symptomatic of a vision problem. I drove like that into my early 20s until I discovered I was quite near sighted!