Ankle support is a contentious issue with boots. The reason our ankles become weak is from our modern day footwear, it adjusts our gait and how our feet strike the ground, mainly by the way our toes are not being used to their full ability. A bit of a catch 22 really, as boots keep our feet a bit warmer as opposed to running shoes in cold weather. Carrying a big load in running shoes is a lot more comfortable than in boots and very doable, to be honest, it is actually the high cut boots that are causing issues, by the wearer relying on them over years, rather than the bodies supportive tissue.
I totally agree with this.
I have never had a problem packing heavy loads in tennis shoes, and I will be wearing the Guide Tennie from 5.10 this year. Even if going on a hunt where rain storms or stream crossings are expected I prefer tennis shoes. They dry out fast and my feet stay warm since they are able to flex and generate their own heat. It is hard for feet to do that is stiff hunting boots. I have even used low rise waterproof shoes in snow in conjunction with gaiters and didn't have a problem with it.