Recording print action - difference between icc settings used and recorded

Action writes a descriptor returned by print event with all print options (including those you are not currently using). In this case, the hard proofing settings were included in the recording of the action. You can verify this if you switch the profiling mode from normal printing to hard proofing, most likely the "D800 Permajet Satin 240" will be set there. So if you are not using hard proofing, then just ignore second profile name recorded in action - this is not a bug, but a feature of the Photoshop events subsystem.

When you use hard profing, action will contain "with Proof Setup" variable: 

If you do not see this line, than you use normal printing, and all is ok.

P.S. why don't you use black point compensation? It should be turned on in order not to lose detail in the shadows, since the sRGB black point in the file is clearly darker than the black point of the printer's color profile:

As I remember you can't accuretely record print settings. Wrting a script would be possible when earliery saving the settings with Script Listener plugin. But even then it's hard to customize results if for examle you'd like to fit the code to different paper sizes. Unfortunately written settings are recalculated with some formula.