Door position, cooking duration and the model's cooling requirements can influence nearby temperatures. A substantial change still needs assessment rather than a blanket assumption that grills are hot.
What the observation means
Check whether the approved door position was followed and whether anything obstructed ventilation. Do not touch the handle repeatedly to judge its temperature.
A useful next step
Stop use if overheating is suspected and allow cooling. Record the setting, duration and any fan or smell change. Do not wrap the handle in insulating material while the grill operates or alter the door position contrary to the manual.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.