I feel like this is missing a really important factor: how likely are guests to use airbnb again after staying at a listing? A listing could look great online and receive a lot of bookings (so high LTV), but ultimately drive users away from the platform. A certain ad platform I worked on cared a lot about this - offensive ads could get you to quit the site altogether. You might want to count every ad as positive for…
In the case of Airbnb, wouldn't that show up in the listing's reviews, requests for refunds, etc. and ultimately drive down the listing's LTV? Nobody leaves reviews on an ad, and I imagine that very few users report inappropriate ads, so you can only measure that indirectly. But if somebody books an Airbnb and has a bad experience, they are much more likely to give you direct feedback about it.
Edit: at least that was the situation a couple of years ago. A host below now reports that the situation has changed and they take the side of the guests; however, either way it's open to abuse no matter which side they take.
The issue is that in a marketplace where both sides can be dishonest, the only way to ensure quality is to do spot checks by trusted actors (aka company employees) where the penalties for failing such a check are dissuasive enough that it becomes more profitable to play by the rules.
This is similar to how law enforcement is supposed to operate - the reason the penalty for theft (for example) is more than merely returning the stolen items is that since law enforcement can't observe everyone all at once, the penalty needs to be enough of a deterrent to make the bad behavior unprofitable overall, to discourage it even in cases where law enforcement isn't there to witness it and enforce said law.