Would anybody know where to find measured angular distribution patterns of light intensity produced by domed and domeless LEDs?
Cheers, I didn’t know where to look for it and the LED spec sheet never came to mind… 
Are those graphs always Cartesian as presented or there can also be found in polar coordinates, showing visually where the light goes?
I’ve seen also polar. Don’t recall in whose datasheets. I’ve been interested in Cree’s, Luminus’ and Nichia’s datasheets. The one above is of XHP70.3, so Luminus or Nichia might be using polar graphs.
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As I understand it an LED is a tightly focused light before they add the lens. 10 degrees is common and I have a few 8 degree lights. Compare this to a helicopter light which go down to 4 degrees. Things are a bit more complicated dedoming a light since then there is a lot of reflection back into the light from the surface. The phosphor disperses the light which you don’t get with single color light. Tell us what you want. Dispersal patters are not hard to find with lights sold at Walmard and Harbor Freight.