My initial 24,000 miles for the Plus card posted on-time as expected after the first statement. Monthly miles have then posted consistently on time. The 3,000 status miles did take quite a bit of chasing up, unfortunately.

Generally, though, most of my miles have been posting pretty much on time recently - I've mainly been flying UA recently, and with the odd exception, they tend to post within 48 hours of flying. This is in contrast with my flights this summer which were mainly LX and LH, none of which posted automatically and took a while to chase up.