I'm not sure what version you are using, but I just tried this in two different assemblies and SW was displaying the correct icons.
Yeah, same here with no problem...
You're not only one with that problem I'm on 2014 sp4.0 and icons are mixed up in copy with mates and they not mixed always the same way.
I just live with it... not much I can do
Looks like this may be fixed in 2015 b3:SPR #:
Mate - Standard
Summary:Mate - Standard: In 'Copy with Mates' property tab, Standard mate Description is not matching with its own representing symbol. (icon)
DS SolidWorks does not guarantee that this SPR fix will be available in the indicated future release of the
product since at this time the SPR fix has not completed QA procedures that incorporate all SPR fixes and
enhancements into a new version of our product.
2015? I have a hard time understanding how DS justifies charging money for this crap.