I would find it helpful for inCopy files with an embedded Object to use the documents Object Styles.
At the moment I am creating bios, each bio requires a headshot. I have created a basic text box in InDesign into which I have embedded a small graphic frame to which I have assigned the Object Style "Headshot Box". Once this is created I open InCopy, place in the persons bio copy. Import the file into InDesign, edit it and place the relevant headshot in the "Headshot Box". I can then edit the Paragraph Style and Character Style, however to edit the "Headshot Box" I have to unlink the icml file and edit the Object Style. Or edit the Incopy file, but then this changes the original size. If Object Styles could be used the same way as Paragraph and Character Styles it would be a huge bonus.