Sites have complete control over the types of advertising that appears on their pages, down to whitelisting only specific brands or even specific ads- but most sites don't care beyond, "no adult products."

That's not how it works at newspapers and magazines (at least the ones with any sort of journalistic integrity).

The editorial and advertising departments are firewalled from each other - for good reason. You wouldn't want journalists to be pressured by advertisers into favorable coverage.

The people writing articles have no idea what ads are going to run next to their articles, and the advertisers have no control over the content of the articles. The owner of the publication might set limits on what advertisers to accept, but they're not choosing which ads run next to what content.