CH does not understand all Illustrator features - so this is probably one of them. How one person addressed it is I think they copied the illustrator file into a Photoshop file and that rasterized everything. I thought someone else had somehow used smart objects (but cannot remember exactly). Copying into Photoshop has the advantage that you can keep the illustrator file as the master, and just copy it over each time you make a change (I assume - I have not tried it). Not perfect, but best I can suggest.