tweake:
yes/no. there is limits on max temp output to stop that happening. plus they tend to melt before they catch fire. also it means the person is using the wrong type of heater. for kids rooms use an oil heater, as thats low temp. then there is behavior, "don't sit in front of the fire". you learn as kids it hurts when sparks burn a hole in your clothes.
Is there? they have thermal cutoffs in them but it takes a while for the heat to get back to them to actually kick in.
When you have little to no money, you don't really have choice in what heater you use. a $20 electric fan heater will keep you warm as would a $50 oil column heater. but the $20 heater has 2x the output of the oil heater, is quicker to heat the area so thats what people get.