A quick wash is not a reliable way to establish that oily cloths are safe for further processing. The type of contamination and the textile's care instructions must be considered.
Understanding this situation
Residual oils can create particular concerns during subsequent heated drying. A cloth looking cleaner or smelling less strongly does not prove that all relevant material has been removed, and extra detergent is not a universal solution.
A useful next step
Use appropriate guidance for the substance and intended cleaning method. Do not tumble dry oily or contaminated items on the assumption that a brief wash made them safe. Tell the appliance engineer about unusual contamination if it has affected the machine.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.