Just to explain the process a bit, so you know what should be happening. When you make achange in the Editor interface, it will write those changes to the HTMLEditor/common/insert or update php file but will not create a new file. When you select your stylesheet and styles from within the Editor interface, it writes the styles' names to a new .xml file (insert or update) and writes to the custom/php file the path to where that xml file is, and where the actual stylesheet is.
As this information (style names and location of stylesheet) is the same for both the admin/insert and update pages, the information just needs to be copied to the files from one (insert or update) php page to the other one.
In SiteSculptor, it would just be to the one 'contents_update_ContentValue1.php' file i.e. - you wouldn't need to do any copying and pasting at all.