We in this forum all develop theories how to behave if you are beamed from your town into such a forest with your usual content of pockets in daily town life.
But that's pretty unrealistic.
If one knows, that he could get lost in a forest like on this photo, one carries a compass, a lighter, a pocket knife a head torch. Nowadays the weights of this together are round about 150g if one chooses the lightest high quality stuff and the volume equals to 3 or 4 walnuts.
Extremely light flat collapsible bottles exist on the market in good quality, you just can roll them up and put it in the pocket, the size is like a package of paper handkerchiefs, water purification tabs are smaller than Aspirin, military ponchos usefull as well as shelter or rain proof sleeping bag cover weight 350g if you want, packing size like a Coke can 0,33 ltrs, and a good quality sleeping bag for 0*C fits nowadays in a lady's hand bag.
I can't see any reason why a person that lives in an empty area shouldn't have such a survival equipment in his vehicle.
I personally carry it always and everywhere outside towns, even in crowded parts of central Europe.
And my equipment is even better and far more comfortable, weights only 6 kg and its volume is 30 litres. (The usual city rucksack kids and students carry around has 25 litres.)
I don't really need that stuff to get out of the woods, I need it to get into the woods to sleep there if I suddenly find the free time to do it. But it's of course the perfect survival equipment.
I think people who live in lonely areas usually have such stuff in the car if they don't trust their mobile phones, even if they have every reason to expect to get picked up by the next driver who comes along if the car should be broken.
And such people usually just know their way home. Everywhere is a road, and most people stay on them.