Hi,
i don´t expect a problem with the inductors.
**
from the picture i assume three independent buck regulators. The switching frequency of smps are asynchronous.
I expect that the three regulators sometimes catch the switching edge of the neighbour, then the output voltage may drift a little, after that they may loose the catching.
Therfore i expect an increased voltage ripple at the output. Maybe you recognize that the outputs jump some voltage step (100mV ??) around their setpoint.
If you see this effect, then you may try to run the three regulators in sync mode, if possible.
Klaus