Our Database Team Resolved this Issue by Chaning the OPENQUERY Statement to a Four Part Syntax.
Old Query:
UPDATE OPENQUERY (DBNAME,'SQL STATEMENT') SET Statement
Revised Query:
UPDATE [DBNAME]..SYSTEM.TABLE SET Statement
The funny thing with this is, if you are Updating a Table with a Single Record such as a Sequence Table, it was necessary to run a SELECT Statement Prior to the UPDATE Command.
Example:
SELECT ORD_NUM FROM [CUSTOMER]..SYSTEM.ORDER_NUMBER_INTERNAL
UPDATE [CUSTOMER]..SYSTEM.ORDER_NUMBER_INTERNAL SET ORD_NUM = (@UNIQUEID + @RECCOUNT + 1)