It’s not immediately clear why the driver behaves like that. EasyMorph is requesting a list of table names from the driver using a regular SQL query. It doesn’t look at sqlnet.ora or anything else Oracle-specific.
Keep in mind that EasyMorph is a user space application running under your user account, not a system-wide application running under an administrator account. Your user account might not have necessary permissions for the driver.
You can also try setting up a TNS ODBC connection (64-bit) and use it from EasyMorph as an ODBC connection, instead of a native one. A system ODBC connection would run in the system space.