In a winter power cut these two do the same broad job — keeping you and your family warm without the mains — but from opposite directions. A thermal sleeping bag traps the heat your own body produces: climb in, and its insulation slows the warmth escaping so you stay comfortable for hours even in a cold, unheated room. It is the single most reliable way to stay warm overnight when the heating is dead, needs no fuel or power, and works the same on the tenth night as the first. For a family sitting out a storm outage, everyone in their own bag on the sofa is warmer and safer than huddling under thin blankets.
A vacuum flask does not warm your body at all — it banks heat you have already made. Boil a kettle while the mains or a camping stove is still going, fill the flask, and it keeps that water near-boiling for many hours, ready for hot drinks, a hot-water bottle, instant food or a wash long after the hob is cold. It is about morale, hydration and hot food through the outage, not about surviving the night. One keeps the warmth in you; the other keeps warmth in reserve — and on a genuinely cold night you really want both.