The information you have provided does not compute. Are you sure your login has access to that table?
What does this return?
SELECT *
FROM OPENDATASOURCE('SQLNCLI', 'Data Source=DESTSERVR\INSTANCE;Integrated Security=SSPI').TESTTBL.sys.tables
WHERE name = 'TBLNAME';
What about when using a username and password?
SELECT *
FROM OPENDATASOURCE('SQLNCLI', 'Data Source=DESTSERVR\INSTANCE;user id=test;password=psw').TESTTBL.sys.tables
WHERE name = 'TBLNAME';
There are no special teachers of virtue, because virtue is taught by the whole community.
--Plato