First Consult states -
Chlamydial conjunctivitis:
* All cases arising in both adults and neonates should be referred immediately to an ophthalmologist, as the condition requires concomitant systemic treatment
They don't mention systemic abx for NG and then go on to say that only H. flu with systemic inflammation signs needs to be treated with systemic abx..
edit: found it, the answer is yes, you use ceftriaxone
fwiw