I wouldn't say Alexander was defeated in the Persian war, even if it didn't go as well as they planned. The northern force did well, and the southern column probably fought a bloody, drawn battle. It is likely that Alexander's southern force did somewhat better than the army of Gordian III in the same area 11 years later, in 244. Gordian lost his life, and Philip had to buy peace. The Persians claimed a victory, and renamed Meshike Pirisapor. AFAIK they didn't boast of victory in 233, while Alexander did.