I also think so but the issue has several important aspects which justify the use of the separate term "schemaless". One of them is that schema elements (say, column names) can be stored as normal data. For example, instead of having normal columns like Name, Age, Department, we could introduce a column storing these strings in 3 rows. As a result, DBMS is simply unaware of the schema - the schema exists only in our head (and in the app). As a consequence, DBMS cannot help us too much in managing data, and instead our app becomes responsible for these tasks, hence we get problems you mentioned. But the major problem is that currently there is no technology that allows us to say that this table column stores actually column names which can be used in queries and have to be treated as normal columns.
