Most likely. Can't you just rename your favorite to something without an asterix?
The asterisk is added by SolidWorks for some reason in the "Manage Favorite Scenes" dialog. I set it as my default scene. So, I figure that's what the asterisk is denoting. But, that shouldn't preclude me from being able to check the box and have it available for quick selection.
I normally work with my "Tupa" scene but switch to plain white when doing screen captures. I'd like to toggle between the two quickly. This is driving me nuts. I tried editing the scene and resaving. No luck.