I agree with you. A self join is not a 'type' of join because it only means that your two tables in your join are the same. It is no different from any other join. What if you join a table to a VIEW of itself? Is THAT a self join? Not even close, because the view might a have a where clause that eliminates some records....

The biggest indicator that SELF join is not a type of join, is that you cannot use the word 'SELF' in the syntax of your SQL....all the other types of joins are valid SQL statements