This is outside my expertise, but I presume here "ground" really means the canopy surface, and the radiation reaching the soil surface (which might more commonly be thought of as "ground") has been reduced by LAI.
I'm not sure I understand your concern here -- is it the use of the word "ground" to describe where solar radiation is measured, or is it because a weather station with a pyranometer is measuring "global radiation" rather than "solar radiation"? And, if so, what's the difference between the two?
-- Jim