These are not smartphones. You cannot do anything with them except phone, SMS, some alarms and make pictures with very crappy quality.
So these are effectively just phones, like 20 years ago. They are not extensible by any app, just what the manufacturer adds for factory provided programs.
I would be small (lightweight) phones. I cannot bare these 180–220g devices. If I want something heavy I buy a tablet.
> The few small-ish phones that have existed have mostly been cheap and underpowered.
I would say that for last years it was quite the opposite… Asus Zenfone was a bit smaller, and few others… all of them being on the more pricey range. I do not remember anything <€500 worth buying…
I remember having few years ago phone from "Note" series… and yet - it was smaller than "normal" nowadays.
If you want a small phone, the best thing are flip-phones, there is tons of them now.