None of the above, really. It's about the actual angle the light is traveling, which is independent of where it left the LED..
Since light is emitted from different portions of the LED, and falls on different portions of whatever sensor is used, the only way to even make such a measurement is to get far enough away that the angle between any point on the sensor and any point on the LED is essentially the same. Considering that the LED is <10mm, and the sensor is probably about the same, you can get resolution of 1 degree with a distance of about 1m.
If you need to do near-field analysis, you're going to need more than the emission angle, or even the lux/theta plots in the datasheet.