How do moths feel about flames?

They're not attracted to them (or any light for that matter). They are disoriented by them.

Apart from the odd forest fire, artificial light sources have been in existence for an extremely short time in comparison with the age of the relationship between moths and the sun and moon. Many insects use these light sources to navigate by day and night.

Because the moon and sun are a long way away, insects have evolved to expect the light from them to strike their eyes in the same place at different times of day or night, enabling them to calculate how to fly in a straight line.

When people come along with their portable miniature suns and moons and a moth flies by, the light confuses it. It assumes it must somehow be moving in a curved path, because its position in relation to the stationary sun or moon has unexpectedly changed.

The moth then adjusts its course until it sees the light as stationary again. With a light source so close, the only way to do this is to fly around and around it in circles.