The problem is almost all the LED fans can’t be controlled with a second switch. It’s infuriating.
The problem is coupling the light source with the fan. Ceiling fans should not supply light. Period. As I said in another comment, in other countries, you have separate fixtures for these. No one buys a fan with light fixtures. It's stupid.
Reading lamps don't exist in those places.
Heck, you could loosen the "angle" part - I still haven't found one.
I mean, sure, you can always wire it.