Wow, my trigonometry is rustier than I thought. But at 50m distance, with a 50-degree FOV, you'd see a patch of terrain around 50 meters wide. That's diagonal, I assume, so a 160x120 image works out to something like 4 pixels per meter, 25cm per pixel. Your fire would be at least 3x3 pixels on the sensor in that case.
But, of course, fires are hot -- far hotter than anything else in the scene. Even a fire much smaller than a single pixel might be fairly obvious in the image.
If you want to discern details about the shape of the fire, the Lepton probably wouldn't help you much at that range. But detecting the presence of small fires should be easy, I'd think...?