Robin had water seven about her later. The arc she debuted in was alabasta/arabasta which she was involved in but Carrot was also directly involved in Whole Cake Island too.
You tried to single out Robin, Franky and Jinbe as Oda changing his writing style when he did no such thing. As stated before, all 3 were main characters, got backstories, was apart of the main conflict etc. Nami, Robin, Usopp and Sanji had 2 arcs and tried leaving the crew once. Brooke is the only who accepted an invite from the get go. Zoro, Sanji and Nami are the only 3 who initially refused. Etc. Etc. None of the SHs recruitment was exactly the same, but the writing followed the exact same formula.
A formula that Carrot doesn't have as she wasn't directly tied to the plot of WCI, the arc didn't revolve around her, she has no backstory, was completely separated from the main Wano battles which never happened to a SH recruit etc.
I am speculating with evidences and you are doing the same with lines like these. Don't hold me to points that apply to you too.
"Oda planned on Carrot going to WCI solely cause of the Alice in Wonderland theme"
"all of the other stuff Carrot has done was because of Naito pushing Oda to give her some spotlight."
This statement is strange. Speculation is a prediction based on what has happened and it is always going to be that way. What is happening now is that Carrot is at the festival and someone is going attack at this festival. Because she is there that is what she is doing. Zoro, Luffy, Minks are doing the same thing. What do you want?
"If you have to speculate that she'll get something later, you're practically admitting she has nothing going for her now."
None of what I said is speculation. It is a fact that all SHs had an arc revolving around them, a backstory etc.. And Naito himself spoke about how much he loved Carrot and asked Oda to give her some spotlight. Once again, former editor Naito admitted it himself. As soon as he left, Carrot faded into the background which factually happened.
Carrot supported the war through thievery and deception and fought in the raid. Saving Marco was a big deal. It was a butterfly effect and if you don't want to appreciate it, I won't judge.
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Many characters supported the war and caused butterly effects so why is Carrot special? That can apply to the whole series. Carrot at the start ran off to fight Perospero only to get off screened and
do nothing else. She played an objectively minor role in the war.