Why, when describing solar and lunar eclipses, first of all, the geometric circumstances of eclipses are considered

Why, when describing solar and lunar eclipses, first of all, the geometric circumstances of eclipses are considered, and when studying eclipses in systems of binary stars – the light curves of the phenomenon?

Light curves of eclipsing variable stars are the main source of information about this phenomenon. The construction of the geometrical and physical circumstances of the eclipse is the result of the analysis of the light curve and is performed with varying degrees of reliability.
In the case of eclipses of the Sun and the Moon, as well as satellites of major planets, the geometric circumstances of the eclipses are quite obvious. Photometric effects provide additional information about the phenomenon (for example, about the state of the earth’s atmosphere, the topography of the lunar surface, etc.).