A food-waste disposer does not make unsuitable liquids safe for drains. Keep paint, solvents, medicines and other non-food waste out and use the disposal guidance for the particular material.
What the observation tells you
The fact that a liquid passes through the opening without grinding says nothing about its effect on seals, plumbing or wastewater treatment. Turning the appliance on adds no useful treatment step. Avoid mixing residues with bleach or other cleaning products in the sink.
A useful next step
If an unsuitable substance has already been poured in, stop using the appliance and retain the product label. Tell the person advising on clean-up exactly what entered and approximately how much.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.