Why the advertising exception tells you the policy
Crawl rules are usually read for what they forbid. The exceptions are often more informative, and here they are the whole story.
A publisher that simply wanted to reduce load would block crawlers everywhere. One that allows AI crawlers onto its advertising and creative services pages, and nowhere else, has made a distinction: commercial information about working with the paper is welcome to be read; the journalism is not available for that use. That is a considered editorial and commercial position, not an accident.
For a data project the consequence is straightforward. The journalism is reached through a licence or syndication agreement, and any use involving AI needs that agreement to say so explicitly. Nothing about the site's silence toward our requests suggests another route.
What remains open is influence: how other outlets cite and follow the Post's reporting. For communications, policy and media research teams, that is often the real question anyway - not what the Post wrote, but what it set in motion.