I've only tried to get AsiaMiles at 3 restaurants in the last few years.

Delaney's (and the Thai restaurant upstairs) have required one chaser out of 3 attempts (which then got the miles very promptly).

The Dickens Bar (at the Excelsior) always post reasonably quickly without any prompting.

Dozo never ever posted without a prompt to AsiaMiles but then always did without further trouble. But then they obviously decided they wanted out and withdrew from the scheme. I missed the announcement from AsiaMiles and continued to dine there a few times - the staff said, "yes" to AsiaMiles and the number was on my receipt, but when I submitted the claims AM told me that they have withdrawn from the scheme some months previously. I no longer use Dozo on principle.