I have heard of an interpretation that AP might not be needed, as the regulation that says AOS is abandoned if you leave without AP or H1b/H4/L1/L2/K3/K4/V status in 8 CFR 245.2(a)(4)(ii) applies only to AOS under section 245 of the Act, and asylee/refugee adjustment is under INA 209, not INA 245.