I started wearing steel toe capped boots as soon as I started treework, but I remember about 5 years ago I went through a phase of using hiking boots for climbing/working after I heard of the amputation myth. Also, many of my co workers climbed in hiking boots.
The hiking boots were easier to climb in, steel toes have a habit of getting jammed in tight forks. The hiking boots were cooler to wear in the hot summer months and lighter than the steelies.
At the end of that summer we were hand loading heavy oak logs onto a trailer, the guy I was lifting a large log with lost his grip and let go of his end of the log, the log hit the ground, and jarred, twisting out of my hands dropping onto to my left foot and breaking the 2 smallest toes, and causing massive bruising to the whole foot. I wasn't angry at him, I was angry at myself for wearing hiking boots.
I always wear my steel toe caps/chainsaw resistant boots now.
There is also the issue of insurance claims, steel toed boots are Personal Protective Equipment, and if you were wearing them it shows that you applied the relevant duty of care to yourself and your employees.