From my own observations, AS flights that are ticketed on non-AS stock credit "normally" based on the usual timelines for that prescribe airline stock. AA stock appear to be crediting the very next day since the "big IAG Loyalty migration" in November 2021. So for a handful of AA stock (with AS prime flight number), AS operated flights, they arrived seamlessly the next day. The same was true for BA stock, AS operated flights which arrived in 2 days. However, AS stock never posted, thankfully, for me a quick call to the call centre, claim raised, and within 3 days I got it credited.
Clearly, some teething issues still ongoing with AS plugging into to OW. Perhaps a combination of issues from BAEC's end also?