Voltage in fluorescent circuit.

[echoes]

EDIT: Is there a power factor correction capacitor anywhere?

Will a pf capacitor make any difference in the voltages measured across an LR circuit, given that the capacitor is connected in parallel across the supply? It will make a difference to current flowing to the fitting, but I don't see how it will make the voltages across the resistor or the inductor differ, the voltage being given by the product of the inductive reactance Xc and the current flowing through the inductor and the resistance * current in the resistor.

No it won't make a difference for your reasons given. Well caught!
PF correction to keep supply voltage and current in phase, and would not affect the phase difference in the voltages across L & R in this circuit. Just wanted to know if the diagram given by the OP told the full story (and it did!).