Step 1: Concept
Hybridomas are created by fusing a plasma B-cell with a myeloma cell to combine specificity with immortality.
Step 2: Meaning
The myeloma cell partner must be "non-secretory" for the technique to work cleanly.
Step 3: Analysis
Statements A, B, and C are true: myeloma cells are immortal (cancerous) B-cells that lack HGPRT (enabling HAT selection). Statement D is false because the specific myeloma cell lines used in research are selected to be non-producers; they should not produce their own antibodies, ensuring the resulting hybridoma only secretes the antibody from the parent plasma cell.
Step 4: Conclusion
Non-secretion of antibodies is a requirement for a suitable myeloma fusion partner.
Final Answer: (D)