Could you please confirm and let me know if you print from any other Application apart from Lightroom , do you still get the print washed out ?
Also what is the version of Lightroom installed on your computer ?
If I print the image using Windows Print Gallery 2012, the print is identical to the one printed from the memory card. My Lightroom is version 5.7. I should note that the differences between prints is rather large, not just some subtle difference.
In the Print Module, under the Print Job panel, what is the Color Management Profile : Is it Managed by Printer or You have selected a Specific Profile.
Also please check the Print Settings once for the Printer from Lightroom.
I think you may have found the source of the problem. I had for a profile selected sRGB IEC61996-2.1. No specific profiles are present for the Selphy printer. I changed the setting to "Manage by Printer." Results now match the memory stick.