It doesn't work like that lol
You would be surprised that this has been one of the possibilities since the beginning. But you must also understand that this wouldn't stick, let me explain:
You may know that Carrot has multiple inspirations (Alice in Wonderland / The rabbit from the Monty Python, Italian/french artists etc..), but one of them is a deep mythical symbolism. Indeed, her story and Sulong form are inspired by the "myth of the Jade rabbit":
Here is a main part of the story (from that site):
The Jade Emperor, searching for the right animal as his successor to create the elixir of life, came from Heaven and landed on a forest. Transformed himself into a weak, frail, starving old man, he laid himself at the trunk of a tree and moaned desolately for someone to help him.
Three creatures appeared to the disguised Jade Emperor: a monkey, a fox, and a rabbit. He pleaded with these three animals for some assistance, requesting food, and each of the three animals set off to help. The monkey collected armfuls of fruits. The fox quickly caught a fish.
However, the rabbit found nothing that he could bring the old man. When he returned dispirited, he saw that the old man was already sitting by a fire eating the fish and fruits.
In despair, Yutu (the rabbit), so eager to help, realized that he simply did not have the power, ability, or strength to help the old man, as much as he wanted to. Yutu realized right then and there that the only thing he could offer the old man was his own body as sustenance, so he shot like a bullet from beneath the leaves and hurled himself into the fire.
The Jade Emperor saw this act and the selfless nobility that it revealed within the rabbit’s character. In that moment, he knew who his successor should be. In an instant the Jade Emperor transformed himself back into his original divine form and ceased the fire, stopping the rabbit from being burned.
The rabbit blinked, startled, at this strange man before him, and the immediate cessation of heat on his body. He looked up in wonder, and saw the Jade Emperor smiling kindly upon him. The Emperor explained who he was, and what he was after, offering Yutu the responsibility of creating the elixir of life, telling the rabbit that this is how he could be of service to him, and to all the gods.
Yutu, overjoyed at the prospect that he could be of use and value to others, accepted the offer. The Jade Emperor whisked him away to the Moon where he began teaching Yutu the art of concocting the elixir of life. He was taught how to mix the right medicinal herbs in the right procedure, far from Earth where he could be kept safe from covetous humans who greedily desired the knowledge for themselves.
After Yutu had finally mastered the art, and could now flawlessly produce the elixir of immortality as well as he could himself, the Jade Emperor in joy used his magic to transform the fur of Yutu so that it glistened white, like royal jade, and all the heavenly beings called him the Jade Rabbit in honor of his humble brilliance.
To this day when you look at the full moon, we can still see the shadow of the Jade Rabbit – Yutu – on the silver surface of the Moon, bending over his mortar and pestle as he concocts the elixir of eternal life.
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As you can see, the story of the Jade rabbit (or moon rabbit in japan myth) is revolving around the themes of the lack of usefulness and self Sacrifice.
Carrot's story is very similar. Carrot is full of wonder, and is always eager to help her friend. Sadly, she is also constantly facing huge walls, traumas and defeats. But Carrot still wants to feel usefull :
As you can see, there are strong similarities here. That's why when you say "Carrot will die".. I say: Yes, it's very probable..
BUT
It might also be the trigger for her development. Carrot won't really "die", she will be saved or resurrected.