I have no idea why you chose to put "Yonko Fourth" on the poll because there is no such thing as Yonko Fourth. Jack is one of the "three disasters", and possibly the weakest of the three considering his epithet, "distraught".
The only one who probably fought the five days straight was Jack — Inuarashi promptly sleeps at 6:00 PM, and Nekomamushi promptly wakes up at 6:00 PM, this leaves a time gap for Jack to rest for a bit because I doubt Nekomamushi or Inuarashi would wake up and fight Jack immediately afterwords. To prevent Jack from killing Nekomamushi or Inuarashi in their sleep, the mink tribe would have to step in to recover Nekomamushi's or Inurashi's body to keep it in a safe place until either Nekomamushi or Inuarashi wakes up.
I assume Nekomamushi and Inuarashi rank below your Yonkou Forth, being Admiral level characters. The mink tribe are foolish to label Luffy as "our hero" because we know Luffy barely defeated Doflamingo and would not stand a chance against Kaido or Jack.