When I first answered this thread three years ago, I was one of those without a smart phone, though I did have an old flip phone for traveling. I finally broke down and bought an old SE through Consumer Cellular, because I didn't expect to use it very often. It was better than the flip phone, but I took both with me when I was traveling far from home, because the flip phone was AT&T, and I worried about Consumer Cellular coverage; I did have one experience at a small town on the northern California coast when I did have to resort to the flip phone. I liked the SE because it was small, but that also made it hard to use. About six months ago, the flip phone stopped working, so I decided it was time to upgrade my AT&T account to a bigger phone, and I got a new iPhone 11. I don't like the way it works--I hate the swiping instead of the home button--but it is easier to read and type. But it is also inconveniently big and heavy to carry around, so I often leave it home and take the old SE in my pocket.
The thing is, I now have two smart phones, WHICH I HARDLY EVER USE. At home I use a landline for phone calls and my desktop computer for anything I do online. I am retired and spend the majority of my time in my house, even without a pandemic lockdown. I feel insecure if I leave the house without a phone, but in fact I almost never need it. And the only phone calls I get are spam, because everyone I want to talk to has my landline number.
Yes, I do know people who don't have smart phones, and it is usually because they have no practical need for them yet. However, I am concerned about the future, which is obviously being designed to be sure that anyone who doesn't have a smart phone will find it difficult to function in society.