I had a dig in the shed, and came up with two B&B bodies of the type under discussion.
On the left is a "121 type" carb, no pilot jet, 0.78" bore, no cast in ID.
On the right is a "123-5" carb, with pilot jet, 0.71" bore, 123-5 cast on the left side of the body.
Both use a 15/16" throttle valve (slide), and a 1" stub mount (although the 121 has the optional reduction sleeve to 7/8" stub).
Obviously "123" and "121" pilot jet bodies look similar from the outside. Perhaps the easiest way to tell them apart (other than the 0.71 or 0.78" bore) is that the 121 is taller at 3.23", compared with the 123 at 2.93".
Presumably the 123-5 is for a 350 EW, and the 121 with no pilot jet is the type in the 1928 E28 600cc parts list, but Daren's image shows a pilot jet.
From elsewhere, we know that 1930 600s used the unusual updraft AMAL 5/116/S
https://www.douglasmotorcycles.net/index.php?topic=8679.0 This carb has an even bigger bore: 7/8"
Leon