Shanks would go to save his subordinate
Kaido would go but only because he wants to start a war and die.
Big Mom it really depends, if it's one of her commanders or Pudding she might go but if it's someone else probably not. Also she might just go just because of her pride, especially if the Marines provoke her.
Kaido has is shown to care for subordinates to some degree not sure if he would be willing to go to marineford because of that alone tho but he does want to die in the greatest war so he might have gone
Meme wouldn't have gone as she shows no care for her subordinates
The second image with Big Mom is a mistranslation, this is the correct translation.
When it comes to Kaido no he doesn't really care for his subordinates either, he might care a little bit for the All Stars and maybe the Tobi Roppo but he doesn't care for the rest.
Here is Kaido attacking two of his subordinates.
When Kaido came to Kuri in chapter 922, Holdem thought that Kaido was there to kill him.
Also despite protecting Jack from almost being killed by Sulong Inu and Neko, Jack's vivre card confirms that Kaido along with King and Queen abuses Jack.
Then there is Yamato who Kaido put explosive shackles on in order to hold her hostage on Onigashima, and has violently beat her since childhood.