I don't know if it is possible or not, but it would be great if at some point we can look into the option of excluding the Site Name and Description from being saved in the style kit. Several users have pointed it out so far, and it gets a bit confusing at times.
Why? Because when you change Style Kit, the Site name and description gets changed too. I remember we run into that issue ourselves at some point when we were re-building the website.
Let's take a look at this in the next release.