Good point and it affects far more than just Airbnb. I'm sure some companies internal ROI for app notifications is universally positive... but when you send me 10 app notifications a week for a product or service I only purchase occasionally, I'm uninstalling the app. Obviously I'm in the minority because the app still has millions of users but hopefully others have turned notifications off.
I basically uninstall all apps between two uses of them: Uber, AirBnb. Even the bank, I have a problem with the mandatory confirmation-on-phone for the yearly stock options plan I use. Wouldn’t want a thieve to see that app.
I think it's pretty hard to attribute bad stays to stoppage of the service though unless they use reviews in a model which is probably the best data they have to predict this.
I haven't booked an Airbnb in years, whether it be due to having hotel points to redeem or someone else in my party booking on their account or just the price differences in that specific city I am going to. I'm not averse to the service but my account is basically dormant