Let me illustrate in what scenario they would be the same. Say I'm #1 for a Google Search. A Google sales rep then contacts me and says that for $300 a month, I can maintain that position. But I have great SEO and don't need to pay Google anything. After I decline to pay, Google's ranking algorithm destroys my pagerank and I am now on page 5 of search results.
That doesn't seem right.
Where Yelp has allegedly crossed a line is in manipulating the user-generated reviews of a site according to whether they pay for advertising, while claiming that no manual intervention is happening.
The truth is likely more murky than either party's depiction, of course; I wouldn't be at all surprised to hear that their "automated filter" does take the "ad partner" status of a business into account when deciding how many reviews to flag for moderation or removal.
Of course, you're right to suggest that at a certain level, Yelp can do whatever they want. They just shouldn't misrepresent what you're buying with your ad dollars.