Momo...Tama...Kinemon...Pedro..."
Momo got his parents killed by Kaido and had to suffer a lot because of him. And is not strong enough to take him down. Luffy is fighting for him.
Tama also suffering because of Kaido. Lost her parent because of him and doesn’t have enough food to eat. Luffy made a promise to her and is fighting for her, as again she can not do it herself.
Kinemon lost is master and friend because of Kaido, he saw his country bleed because of him, fought him to the bring of death and couldn’t take him down and asked Luffy for help. Luffy is fighting for him too.
Pedro died for the strawhats and Wano. Luffy is ready to die for the people he cares about. We’ve seen it enis lobby, Marine Ford, WCI and Wano. He values those kinda people. Ofc he will mention his name.
Yamato has been imprisoned by Kaido and has taken her freedom. But do you know what he couldn’t do to her? He couldn’t break her spirit. Yamato kept fighting and fighting, she couldn’t leave but her spirit was not broken and the fact she has CoC is prove of that. Luffy knows that, that’s why he doesn’t have to fight her battle. And Yamato understands Luffy as well. She let him have Kaido alone although she could have helped.
You know what other names Luffy didn’t mention there?
here are some: Zoro, Nami, Usopp, Sanji, chopper, Robin, Franky, Brook, Jinbe and LAST BUT NOT LEAST Yamato