>In my case all tables, MyTable, MyTable1, MyTable2, and MyTable3 exist in both databases. It is just that some customers, instead of using the table in their "own" database, use it in another database. This is why I want to explicitly have the db name prefix for all tables that are not in the default database.

The more it makes sense to mention the OtherDb.dbo. prefix only once and use aliases down the road. Then if you need to change something, you change it in only one place (i.e. if you want to remove the prefix) and the command remains just as (un)readable as before.