No. Do not taste suspected residue. Describe its feel and appearance and review the product, dose and whether the programme completed.
Understanding this situation
A slippery or filmed surface can have more than one explanation, and tasting cannot provide a safe reliable diagnosis. Keep the dishes from normal use until they have been appropriately cleaned and the concern understood.
A useful next step
Follow the appliance and item guidance for a suitable response, and seek product advice if exposure is suspected. For repair assessment, record whether all items or only certain surfaces are affected and avoid adding mixed chemicals to remove an unidentified film.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.