Fair, I was mostly thinking electrical engineering and similar. For civil engineering, I'm curious what is common. As soon as you have Fourier and/or Laplace Transforms, you will most likely end up using radians, and are these not relevant for civil engineering? I have no idea, though the modeling of linear, time-invariant systems (i.e. filters) strike me as important if you're building, say, a bridge, and/or care about seismic activity at all.

Nevertheless, in the context in which this was presented, radians are the only way to go.

Output on control system HMI Scada screens for stuff like Tilt Drives are all in degrees as well, in this respect it's like the Kelvin scale. Control system doesn't display thermocouple readings in Kelvin either (at plant I work at Temperature setpoints are displayed as degree Celsius).

You might use Radians/Kelvin internally for ease of calculation but they aren't numbers you quote around or report things in.