Well one super douchey tone to start lol
The Bolded isn't true. Were not children, everything shouldn't need to be on panel typed out for you to make plotpoint connections.
Sanji and the SH's made the decision to rescue Zou then actively put in the work to save the country as shown below
(Sanji and Pedro)
(Pedro's Respect for Sanji)
So Pedro had respect and admiration for Sanji (who also after already saving Zou seemingly left under the hostage of a Yonko in part to prevent another all out war on Zou)
Carrot's scene with Sanji is representative that his actions and decisions lead to this moment where now Pedro is dead and Sanji must reflect on those very actions and decisions and the consequences of them. Seeing Carrot crying there should and will always weigh heavily on him.
At the italicized, Even in your statement of the correct japanese translation wouldn't that be Pedro grouping Carrot in with the SH's lmao
I personally never read to deep into Pedro's last words revolving Carrot myself but theres MANY reasons she'd be a great SH's member imo and I'd loved to see her join. Carrot as a lookout just fits perfectly, her design is dope but also doesnt standout too much (She's easily identifiable/doesnt resemble other crewmates) already has several different dynamics with other crew members - Chopper, Nami, Sanji (still waiting on the Luffy front) she's strong enough to hold her own in the coming battles, represents the minks (I believe the SH's will have member of each major faction in the crew or grandfleet and carrot doesn't have captain aspirations just longing for adventure.
She's was shown very early in the Arc she was introduced which is common for eventual SH crew-members.
Starting to have my doubts on Yamato however lol