They've changed it since I got mine, then (in 2017, and it was my SECOND Enhanced). Mine doesn't have that stylized graphic, it's a box that reads 'ENHANCED' within. The other, quick, way to tell is that is has the American flag on it rather than nothing or a star - https://dmv.ny.gov/driver-license/which-id-right-me
Here's my take on the entire question - this cruise is to US ports, except for the requisite stop in Victoria. If she actually had an EDL then the BC would have been superfluous and the stress over getting the copy was unwarranted. But @Ferry_Watcher can correct me on that.