But you haven't quantified the danger. Sunlight is hazardous to your health along with internal combustion engines. Neither of those links quantify the danger, so it doesn't really provide any information. Maybe the danger is so low that the stress relief a fire provides is less than the danger the smoke creates? The net sum could be negative.
There is a neat rule in some Scandinavian countries (I think it is more than one country but I forget the name of the rule so I cant look it up) that ensures people's right to hike across private property. I can imagine that a prohibition on fires would come in handy.
Many national parks and forest either restrict fires to metal fire rings or ban them out right during the height of wild fire season and, in southern California, some of these bands are now year long as wildfires can be so catastrophic.
Warm clothing and sleeping bags works well for heat, never had an issue with beasts other then bugs (head nets work for that) and i've spent a lot of time camping in remote spots populated with bears, wolves, mountain lions etc.
edit: It isn't the same, but in Michigan, all navigable water is a public right of way. I would assume similar rules exist in other states.