@Jess4223
I've experience this twice that I am aware of (there might have been others where I simply had no idea). Both were young women who were on holiday and booked my listings because they wanted to stay there (one was a two-month stay), but I suppose they also chose my listings because they also provided an aesthetically pleasing backdrop.
Neither asked for any kind of discount. Neither asked me permission, but they also didn't hide the fact that they were making photo/video content for their social media accounts. One even wanted to make a video of me, but I declined.
It's a tricky one because, as @Anonymous says, a lot of guests will be posting images from their holidays or trips on social media anyway, including some of their accommodation if it is nice looking. At what point does it become commercial content?
One of the influencers was from China, where they use different social media to here, so I wasn't able to check the content that she was posting, but I did see the other girl's content. She did make a lot of content here, which looked very nice (she got lots of comments on how beautiful the room was) but it wasn't of any benefit to me advertising wise as she never even mentioned that it was an airbnb, let alone linked to me. Perhaps she might have done if I had an Instagram account for my listings.
On the other hand, maybe it is better privacy-wise. As @Fred13 says, it's not necessarily the audience I'm after. She was a lovely girl but, as someone with a lot of followers, she gets targeted by scammers. Those scammers try to target her genuine followers. Since I started following her, I've had to report quite a few profiles.
If, on the other hand, someone approaches you specifically to shoot social media content in your listing (rather than being a guest), then I think you have the right to charge them accordingly, i.e. not just the normal nightly rate. Or, you have a reciprocal agreement in place where they also promote your listing. With the latter, of course you have to make sure that the influencer themselves has a high enough following and an audience that is relevant to your business, i.e. you need to be choosy.
I would certainly be willing to offer a free stay to a professional interiors photographer for new photographs.