Warmth isn’t just physical thing, like if your sitting in front of a fire or heater, it is also a feeling, a feeling of happiness, content, and sometimes pride.
You could glow with warmth if someone congratulated you on getting an award, or if they gave you a sincere complement; or you could feel warmth if you just ran laps around an oval, and if you wear layers and layers of cloths on a hot summers day.
Both are the same thing by name, yet different in nature, it is two different things, warmth.