Neither breastfeeding/bottle feeding or whether to breast feed in public is controversial. If you can, breastfeeding is best, but fed is better. Making sure the baby is fed is more important, whether its by bottle or breast.
Breastfeeding is literally what breasts are for - if baby's hungry mum needs to feed them. Puritans and deviants obsessed with controlling other people's bodies can look away. No four year old finds breastfeeding shocking. Only the adult is sexualising it.