Strawhat Jedi's logic is very good:
- We didn't see Carrot's decision
- Carrot's apparent conclusion does not fit her character arc
- Pedro's will is vague enough to mean "keep going with Luffy"
- We didn't see Carrot's farewell
What's against it is the huge amount of off-screening Wano got, specially in its conclusion.
Under normal circunstances, the chances of Carrot popping up would be overwhelmingly good.
But Wano's ending is just so underwhelmingly put together that it could have been Carrot's conclusion and we are just meant to take it as done.
If she doesn't pop up in the next chapters to clarify either outcome, God knows when her supporters will feel like all the chances have been spent.
I for one wouldn't be happy if Carrot indeed got offscreened like Hyogoro did, and didn't get a conclusion to that answer. It wouldn't be any different from the people that put all their bets on Yamato, only get a tomato splat onto their faces.
That said, to be honest, I have already pretty much given up on any chances of Carrot reappearing, because I can't think of a scenario that calls her to step out of her hiding place.
I love to be surprised though...so who knows?
I'm pretty much in the same boat. I'd be lying if I'd say I'm not still hoping that she has stowed away a second time. But it also comes across as my just not wanting to let go, so I'm already expecting this not to be the case.
I agree though that she would totally be treated dirty if that was the last we saw of her at this part in the story. For somebody who stowed away on the Sunny and experienced the wonders and dangers of the world for the very first time thanks to and together with the Strawhats, it's totally unforgiveable that we didn't get even a single panel where they say 'bye'.
Everybody who travelled with the Strawhats got a good bye scene be it the very big one with Vivi or a small one with Johnny and Yosaku who said, that they'll be going their own ways again. Carrot definitely deserves a good bye, but Wano really offscreened a lot.
Also the entire King of the Minks thing is a red herring at best and a cop out at worst. It feels totally undeserving and unearned. Not that she's not worth to become king in the future as an adult. But right now it comes totally out of the left field as if Oda has to conclude her arc somehow by giving her something (that's the copout). Of course the chances are that it's a red herring to throw the readers off because by the time it was brought up Oda still went Yamato route.
Either way, the entire king thing rubbs me the wrong way. It hasn't even to do with Carrot not joining. I just find it totally unfair to her. She also wanted to see the wonders of the world, just like Yamato. And while Carrot got some glimpses of Tottoland and Wano, there's still far more out there. Ok, she has already seen more different islands than Yamato but a) Yamato is free to leave and b) for Yamato experiencing Wano is already a completely new experience from being imprisoned in Onigashima. Carrot on the other hand now has to stay behind at Zou so that Inu and Neko can be at Wano. That's a very selfish dick move from the two.
Strawhat or not, I'd be happy if the girl actually rejected that offer and revived the Nox Pirates. That would fit her adventurous free spirit more than staying behind to rule a country. It's already rough to have a child like Momo rule a country but that was his birthright and he's always been prepared to do this, no matter how hard it is. But for Carrot it's "oh by the way, you're the new ruler of the country (so that you can stay chained here, while we are hanging around with our Sake loving frinds in Wano)". Not happy about that development at all.