No. A rinse or pre-rinse stage does not necessarily provide the detergent cleaning, temperature or drying of a full wash programme. Its intended purpose is limited by the manual.
Understanding this situation
A damp clean-looking surface after rinsing is not proof that the load has received an appropriate complete wash. This distinction matters if the wrong programme was selected or a cycle was interrupted.
A useful next step
Use the correct supported wash for the dishes and soil. Do not add chemicals to an option not intended for them. If a full programme fails to run, report that fault rather than treating repeated rinses as an equivalent workaround.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.