Seriously... Nothing changes if she's not there ? Come on, give me a break. WCI would have to be entirely different because she saved Nami and Chopper in the Seducing Woods, helped Chopper deal with Brulee and co (and wasn't caught back probablky because of how fast she is), stopped an entire fleet from the BMP by herself in Sulong and generaly speaking was a fun addition.
Haters have no real argument against her, they have to resort to pathetic attacks like you Rootbeer demonstrates here; or selective choice of panels to try and belittle her (Sanji never managed to do more than hold his own against Daifuku's genie for instance). Meanwhile, some will wank Pekoms (a loser compared to Carrot, I'm sorry to say) or even Pedro (who is dead and has far less connections to the crew).
And you all fail to provide a compelling explanation for her presence with the crew. Because in good storytelling, of which Oda has proven to be great at otherwise this forum wouldn't exist, nothing is made at random.
So, I'll ask again : why was Carrot separated from the other Minks on Onigashima ? Was why she the only one who sneaked out to the Sunny ? Why was her personality fundamentaly different from any other girl of some importance in the manga ?
The answer is clearly, plainly, obviously, that Oda wants her to have a significant role in Onigashima and beyond. Most probably (I'd say I'm 85% sure at this point) to join the SH.