Nope, same problem as linear. Can you get angle correct to 4 decimal places and prevent the contact from oxidation?

"Digital potentiometers" are rotary encoders, which are switches, not resistive dividers. They are a useful input device for a microcontroller but not in an analog circuit.

Another option is a multi-pole rotary switch with selectable resistors in each position, but that only gives you the available values.

They are all larger and more expensive. Just use two E12 resistors in parallel or series, you can always get within 1 %. They cost a dime a dozen. The series was made for such combinations – did you know that 180 Ω and 220 Ω in parallel gives 99 Ω, a value useful for 1/100 dividers?