Hav eonly ever had positive experiences (4 to 5 days max)for mileage posting- partners can be a different story, Aer Lingus for example.
It was about 10 days since my trip to Peru and I kept checking on my "home page" to see my mileage balance at the top of the page. No miles. Called AA and they said that the miles had been posted. They had indeed, but beware that the home page total does not seem to update at the same time as your actual account balance page.