No: she needs none as the goddess Queen of the Underworld.
The seasons were unchanging in the time of the year of the Greek gods until this abduction, likely it was Spring for Persephone is a goddess of spring and many flowers were being gathered by Persephone and other maiden goddesses.
Persephone returns from the Underworld in spring.
Persephone was born before time existed.
Persephone was Demeter's daghter, so when hades kidnapped her, of course Demeter wanted her back. Eventually, the time Persephone spent with Demeter and the time with Hades was divided. When Persephone was with Hades, it was Winter. When she was with Demeter, it was Summer.
Persephone was the eldest and perhaps only daughter of Demeter at the time of her abduction by Hades.
She was dejected when Persephone had been taken from her and happy every time (once a year) when Persephone was back with her.
Persephone spends her time either on Earth with her mother Demeter and father Zeus, or with her husband Hades in the Underworld.
I think she eats pretty much whatever she feels like at the time. I doubt she has a discrimination between one or the other.
Persephone is well known to have loved Demeter, Hades, and Adonis. For each she split her yearly time with.
The goddess Persephone is in the Underworld with the god Hades for half of the year; the seasons Autumn (Fall) and Winter.
The exact time of her abduction is unknown.
Either in the Underworld or on Earth or Olympus.