Just a data point. My first statement just posted, and included the 50K sign-on bonus + 1.25 miles/$ for spend. Even though I'm over 2K in spend, the 2K bonus has NOT posted, but from reading here it looks like that happens a statement later (to ensure you pay, etc.).

Miles reflected on BA.COM less than 48 hours after the Chase statement posted. So far, very happy, and moving quite a bit of spend to this card.