@Christopher1295 Congratulations Sherlock, you discovered what one of the B's in the website's name originally stood for. But what about the first three letters? They represent the AIR mattress that the founders were renting out in their living room, which as legend would have it originated the whole concept. So if you really feel like being pedantic, I guess you'd expect every AIRbnb listing to have an inflatable bed as its sleeping surface.
Maybe some poor fool out there feels truly misled that most Airbnb listings are not actually B&Bs. I guess the same person would be shocked to learn that amazon.com doesn't sell rivers in Brazil, and heaven forbid someone invites them to a Lemon Party.
In all seriousness, though, I've experimented with offering breakfast but ultimately found that it is just not enough of a selling point in my location and price range to justify the extra work and expense involved in providing it. But I'm in a place with dozens of cafes and restaurants in stumbling distance, and my target guests are self-sufficient, independent travelers who aren't too lazy to cross the street get their own stupid pastry or whatever gluten-free vegan thing they want. I've always offered the means for people to make their own coffee and tea, which maybe 1/3 of guests enjoyed, but when you're catering to a generation raised on Starbucks, you find that most of them are happier to spend a few bucks on a specialty drink in a cafe. Far and away the most popular freebie I've offered visitors is a cold beer.
If the traditional B&B experience is important to you, of course you can still find that on this website - just use the "Breakfast included" search filter. But it's not economical for anyone hosting only one or two guests at a time to cater to whatever peculiar tastes they might have, so if you really want an inclusive breakfast to be part of your holiday experience, you're much better suited to chain hotels.