> What is the goal of taking over my smart thermostat and turning off the heat?
There are several
1: Look what I can do. If it is easy enough expect some kids (think 13 years old) doing it and laughing at the possible chaos they have caused.
2: lets rain chaos on those evil [insert any other country that you are at war with]. If I were to do this I'd change things so the average temperature was about right, but the heat and cooling would take turns changing the temperature by half a degree. Most people won't even notice right away, but their utility bill will be more than their monthly income and on a national scale the country is forced to dip into energy reserves.
> What is the likelihood of that actually happening?
1: Very high. For any individual kid it is low, and like for an individual thermostat, but if you are the exception it doesn't matter that only 10 people were hit worldwide, what matters is you have to replace all your plumbing
2: somewhat unlikely, but if anyone can pull it off they can cause a lot of problems for the target country.