Stations like Jack-FM and Ben-FM say "Playing What We Want" or something similar. But they really play almost no Country titles. As a person who doesn't like Country, that's fine by me. But it is an example that Adult Hits stations are not as wild and free as they claim to be.
The formula for Jack and similar stations is to mix the more popular Classic Rock hits from the late 1960s and 1970s, along with the MTV Video era hits from 1980s and 90s. Add in a few very occasional post-2000 songs from the biggest artists like Bruno Mars, Adele and Ed Sheeran. There may only be about 30 or so songs in this category. Jack plays something from this file only a few times a day.
To reinforce the "We Play Everything" slogan, maybe once an hour Jack will play an out-of-format song, like "Friends in Low Places." Usually it will be an almost-novelty song, such as "Can't Touch This", "She's A Bad Mama Jama" or "Girls Just Wanna Have Fun." And the only black artists who get regular play are Michael Jackson and Prince. That's the Adult Hits format.