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Unfortunately there are way too many variables just to answer that definitively.
If you put a thousand Watt resistive heater in a room 1,000 watts will generate 1000 watts worth of heat give or take. But if you use a heat pump, 1000 watts of power can be used to move 3,500 Watts worth of heat outside to in. Speaking from a theoretical power concept.
If you're heating your entire house to 20 or 30° above ambient, you'll have losses on the roof in every wall, If you're just eating one room all you have are the losses of that room so insulation becomes a weird thing to calculate.
You can't just let your pipes freeze if you're a freezing zone, but generally unless you're central is super efficient, maintaining a comfortable temperature in one room is more cost-effective, heating one room should cost somewhat less than try to heat the whole house no matter what method you're using.
At last, a reply that understands the difference between heat pumps vs resistive heating.
You're right.
If they have a heat pump, it could be cheaper to use that over all.
*Edit: It's electric resistive heat on a central air system.