plotting – LogLinearPlot fails to change color of functions as specified by PlotStyle

My version of MMA is V10.1.0.0. When I am using LogLinearPlot with a list of functions, the functions do not change color.

The list of functions I want to draw is:

zin = (0. + 0.6283185307179586*I)*f - (50000*I)/(f*Pi) + ((0. - 0.17683882565766149*I)/f + rload^(-1))^(-1)
LogLinearPlot(Table(Arg(zin), {rload, {1, 10, 100, 500, 1000, 10000}}), {f, 10,  10^3}, 
Frame -> True, PlotLabel -> "Zin LLC circuit", 
PlotRange -> {{10, 10^3}, {Pi, -Pi}}, 
FrameLabel -> {"Frequency (Hz)", "Phase /radians"}, 
PlotStyle -> ColorData("Rainbow") /@ (Range(0, 5)/6)) 

I was expecting the functions to change according to the settings of PlotStyle.
The output plot is:
Output Image