Minecraft wiki entry for Hunger_management, associated text: Disadvantages:
Finding carrots can be difficult, as they are only found in pillager outpost and shipwreck chests, growing in village fields, or dropped with an 1⁄120 chance from zombies.
Finding the golden carrot itself is also difficult, as they can be found in ruined portal and bastion remnant chests.
Though cheaper than golden apples, they still need gold nuggets to be crafted.
The trading offer is 3 golden carrots for 3 emeralds, which can be expensive, though the price can be lowered with zombification and curing, or the Hero of the Village effect.