@Alon1
Having been an engineer on this type of software my entire career, I can tell you that just because you see x number of reviews and x number of ratings in a browser, does not mean the algorithms are using these numbers correctly.
It is a long path from a user interface on a host machine to a database on a server, with all sorts of data transformations occurring along the way. There are often defects in software in which the algorithms that compute totals, averages, etc. are using old values from the database, or are making rounding errors, or are being transformed incorrectly when being transmitted to the server and then to the database, or have an indexing problem in which the values used are 1 or 2 off from the correct values, or are using older, cached values in a UI that haas not been refreshed correctly by the server. All of these defects are very common, and it is a tester’s job to uncover these errors before the software goes into production. Software changes that might affect these algorithms happen with startling regularity, and depending on the quality of the developer, the testing team, and the development process, these types of errors may or may not be caught.
Therefore, one way to truly prove that correct values are being used in an algorithm is to do this type of testing yourself. For instance, a host can add all of their overall ratings together, divide by the number of reviews, and see if the resulting rating matches what is seen on the screen. Of course, if there are other variables in the algorithm, for instance if more recent reviews are weighted more heavily than older reviews, these would have to be identified and incorporated into the test.
If just the simple test above does not reconcile with what is on the screen, I would call CX, and if the rep does not know the algorithm (almost 100% likely, I would say) push to be connected with the next level of support. I am completely against the notion that these algorithms are some sort of magic, and that guests and hosts must be kept in the dark about them.
In summary, what some hosts are seeing may be actual defects in the Airbnb software, but I recommend the due diligence above to determine if that is the case.