Ok great stuff, I managed to make some progress:
For starters, each of these regulators has an output inductor and a resistor divider network that determines the regulated voltage.
As I do not exactly know the part number, I have had to measure and compare to the other working regulator on the board.
The output voltage is set probably by a formula such as:
V out = V fb * ((R1+R2)/R2)
On the working regulator, R1 and R1 are 11k ohm. The output voltage was measured to be 1.5 V.
On the broken regulator, R1 is 26k ohm and R2 is 13.6k ohm.
Back calculating Vfb from the working regulator puts it around 0.75 V.
Applying this formula to the broken regulator results in a speculated value of 2.4 V (this is surprising, I expected 1.2 V, maybe I have the resistors mixed).
For reference, if anyone ever encounters this problem, here are the connections (the components are connected through vias in some cases):
U23 -> L3 -> R62 -> R65
U24 -> L4 -> R67 -> R68
I then removed the output inductor L4, and powered up the board, I confirmed that the regulator still does not produce an output voltage (not surprising as I removed the inductor). I also checked other inductors on the board, 1.5 V, 1.8 V, 3.3 V and 5V are all present.
I guess the next step is to connect a lab supply in there. Even though the calculations show that it could be 2.4 V, I will rather start with a lower voltage at 1.2 V for testing and then only go higher if it still doesn't work.
Thanks everyone for giving me a fighting chance