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There is a bug in ListStepPlot, which I reported to Wolfram and they are working on a fix. Until then, I wrote a simple workaround and thought I might share this with people, in case you encounter the same problem.

The bug appears when ListStepPlot is used with both PlotMarkers and ScalingFunctions set to non-default values. For example

ListStepPlot[Table[p Range[6], {p, {3, 7, 11, 13}}], "Center", 
  PlotMarkers -> Automatic, 
  ScalingFunctions -> "Log"
]

gives

a plot with bad markers

I provide a simple temporary bug-fix in my answer.

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A workaround is to apply the rule

BUGFIXRULEListStepPlotLog =
 GeometricTransformation[Inset[Style[m__], {0., 0.}], tr_] :>
  GeometricTransformation[Inset[Style[m], {0., 0.}], 
   If[#[[1, 2]] == 0, Nothing, {{#[[1, 1]], Log[#[[1, 2]]]}}] & /@ tr]

to the created figure. For example

ListStepPlot[Table[p {1, 2, 3, 0, 4, 5, 6}, {p, {3, 7, 11, 13}}], 
  "Center", PlotMarkers -> Automatic, 
  ScalingFunctions -> "Log"] /. BUGFIXRULEListStepPlotLog

gives

enter image description here

When other scaling functions are used, the bug-fix needs to be adjusted (replace Log by whatever is needed), but the general procedure should work in any case.

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