I kind of enjoy that property of myths. They can share a similar plot, but small differences can change the story drastically.

This is slightly different from what I learned.

Hades had basically kidnapped Persephone (the daughter of Demeter), which made Demeter cause fall and winter, where crops died and refused to regrow.

Around the “start” of spring, Persephone returns bearing news. She says after spending time with Hades, she fell in love, and both Hades and Persephone agreed to Persephone spending a few months of the year with Demeter (spring and summer), and a few months with Hades (fall and winter).

This is apparently why the seasons change. Demeter is overwhelmed with joy during spring and summer, which causes bountiful greenery. During fall and winter, she falls into a depressive state, which causes plants to die and trees ti lose their leaves.