I assumed the OP was talking about being out in the country side. Whenever you are potentially far from help, equipment is a good idea. If running around the streets then gear is obviously not necessary.
Having said that a friend of mine slipped on ice within his town limits, broke his leg and had to crawl quite a long way to get help through snow. So at least a phone would’ve saved a lot of pain and potential danger.
I bring a phone (and nothing else) unless I am sure there will be people around all the time. Which there usually is for me.