I'm not seeing any signal on the motor that is "down".
I wouldnt necessarily expect any signal if the motor is defective (or wire/connector/whatever broken). Like I said earlier, ESC like these requires a working motor as it uses its back emf to determine the position of the motor. If cant get measure any, I dont know what it would do. Quite possibly nothing.
If does turn out to be the ESC; I assume you inspected it visually, and there is nothing that looks burnt? Ive seen threads where people repaired the ESC(s) with a reflow gun, but I wouldnt know what to replace.