Yamato was confirmed to be staying in Wano but in Carrot's case she could be anywhere since her ending was left open there was no confirmation.
If Oda simply wanted her to Rule Zou, confirming it takes the same amount of time he spent making her DECLINE THE OFFER IN THE FIRST PLACE. It's not hard for him to set it up correctly, but he decided not to do that and left us on a cliffhanger.
Carrot's introduction was about being a Lookout, and then Oda had her become a Lookout on the Sunny for an entire arc, while having her mentor die and give her the will that ties directly to the strawhats. It's not hard to understand that it's basically confirmed that she's joining.
Carrot Ruling Zou was merely a way for Oda to have Carrot contemplate about Pedro's will, while also paralleling Oden and his experience with being told to Rule A country he wasn't interested in ruling. This is also why in the scene in 1056, she's eating Oden.
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If oda had wanted Carrot to become a leader, he would've showcased her leadership ability and given her moments to shine as a leader. But he didn't?
He did, in fact, focus on Pedro's will, what he wanted for her, her strength as a fighter, her lookout ability, her unique abilities (floating, jump power, claw fighting style), relationship with the crew, a reason to join the strawhats and still Nothing about leadership. In comparison to that of Wanda and Shishillian who had both received nothing but leadership showcase.
There is 100% more proof to support a case like mine, in comparison to that of "she's a leader".
Also think about how much he made her as adventurous as possible, read chapter 910, she's shown to be super excited when Luffy starts riding up the waterfall with the fish, while everyone else on the ship is worried and crying in comparison to her having stars in her eyes.
Doesn't look like someone who'd willingly go back to Zou and sit in a throne.