LB skydome and Radiance sky differences

Hi Ladybug community,
Running LB skyDome and HB watchTheSky with an annual cumulative sky I noticed significant differences between the two cases, with skyDome reporting smaller values (62kWh/m²) than the Radiance-generated scene (177kWh/m²).

The same happens with different EPW files and time periods as well. Am I missing something here?

*edit: attaching relevant gh def.
watchthesky.gh (487.1 KB)

Have you seen this conversation. The values in the sky component are converted after being multiplied by these values for solid angle conversion.

Thanks @mostapha for clarifying this. Just to make sure I got it right, the values before the conversion are in kWh/m²/steradian (same as Radiance results) and then they are converted to kWh/m²?