I do yes! I don't have much hair left so I kinda need to. For some reason my head burns quicker than the rest.
I get mine mostly from walking in the woods/mountains too and I usually wear long trousers even on hot days too. But it's really for a different reason. I just don't like shorts and I get cut a lot.
Arms and legs.
Skin exposure is quite different there because unlike the head they get a change in angle way more often. Sure you can get sunburn there too, but it’s harder to do.
For the arms at least, they make UV protective shirts, they are essentially just a lightweight loose breathable fabric. Worth considering if you aren't familiar with them.