Exactly. You're paying a realtor to promote your house, including on their site, to sell it.
Zero difference from hiring a TV channel to promote your product, on their channel, to sell it.
Which is why trying to define advertising in a way that bans it is not simple at all.
GP says "Publishing factual information in a place people expect to find it is not advertising."
OK. Now the realtor adds a blog. They start publishing news about the real estate business. With listings mixed in. Congrats, you've got a newspaper with ads for homes. Are you ready to say the realtor can't publish news? Isn't that censorship?
Also, home listings aren't "factual". They're promotional. They focus on pros and omit cons. They have photos that hide the ugly parts. They're ads for homes, period.