My 11 and 13yo happily ride on the back of my cargo bike (Extracycle). Some of their braver, bike riding friends, do ask "Why don't you ride by yourself?"
I used to have a burley before the cargo. I think the cargo upright position makes it feel a bit more grown up. Plus, it is so fun.
The highschooler absolutely refuses to ride the back of the cargo, and insists on being driven by car. It takes so much longer with all the traffic, but he is willing to suffer to avoid looking uncool.