Is an LR Phase Shift Oscillator possible?
Why use inductors when capacitors are cheaper and more "perfect" as components. Yes an RL phase shift oscillator can be made but not with the circuit you have shown - if this oscillates then it's despite the problems you'll get with the 10k resistors in series with each inductor.

For a single phase shift network to be valid XL will approximately equal 10 ohms (as per the series resistors in your diagram) but, you have 10k resistors in series with each inductor and so the criteria that is aimed for in a phase shift oscillator is scuppered before you connect it to the scope.