When I wore boots, my ankles turned a lot. With the more supportive footbeds on my trail runners, I haven't turned my ankles even once in the 3 years since I switched. In other words, it's the footbed, not that little strip of leather or fabric around the top, that supports the ankles! BTW, my feet are really deformed, so I need all the help I can get from my footwear!
My son doesn't backpack a lot, but he wears trail runners when he does. These are family backpacks, so he's carrying a lot of gear for the kids, including all the food for four. These trips are to the Olympic NP coast, and he's a surfer, so he's packing a heavy wet suit and carrying his surf board in addition. Total weight is in the low 40s, and he has no problem with trail runners.