The short version: substantial AHI reduction in the trials that measured it, with the largest effects in people who lost the most weight.
AHI bands are conventionally five to fifteen for mild, fifteen to thirty for moderate and above thirty for severe. A fall from forty-five to eighteen is a two-band move and still leaves moderate disease.
It helps to be literal here: the correlation between weight change and AHI change in these trials is strong but not deterministic — craniofacial anatomy, muscle tone and sleep position all contribute, and none of them respond to weight loss.
Weight loss by any means is long-established as reducing AHI; the surgical literature has shown this for decades, which is the reason the pharmacological result was expected rather than surprising.
Nothing here is medical advice. Untreated sleep apnoea carries cardiovascular and accident risk that a forum is not equipped to weigh.
Cite the polysomnography endpoint, not the sleepiness questionnaire.