Very cold surfaces can cause cold-contact injury. Follow the product's serving instructions and the appliance's safety guidance rather than using an ice product as a temperature test.
What the observation tells you
A freezer's colder special mode can change how quickly something becomes uncomfortable, but touch does not provide an accurate reading. Children may not recognise the risk. This is a handling issue even when the freezer is functioning correctly.
A useful next step
Use appropriate serving and supervision practices. If the appliance's temperature is uncertain, measure it properly instead of tasting or holding frozen contents against the skin.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.