I see the same problem with the our SRS setup with Logitech Group and SmartDock.

 

The "mute" function on the Group speaker/mic unit does not trigger a "mute" condition within the the Skype client and vice versa. 

 

2 inline mute functions is naturally very confusing for end users.

 

Using the same SmartDock setup we do not see the same problem with the Logitech Meetup, which is a newer design than the Logitech Group. I presume that might indicate a problem with the Group firmware.

 

I have found no information on this problem except for this article.

 

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