This really goes to show that the chinese can and do innovate, contrary to the preconception.
I saw a documentary on the building of the bypass bridge near the Hoover dam. They used a helicopter to fly the cable over, had to wait for it to be dead calm as it was carrying near its max capacity and it still took like two hours for them to do it. I think they almost lost the chopper too.
Using a rocket is probably much more cost effective and probably more akin to how bridges used to be made. I mean look at the rope bridges the Mayan's made, some are way too wide for someone to easily throw a rope across, so they probably tied a guide rope to an arrow and fired it across.
You can probably transfer a heavier cable using a rocket than a helicopter, allowing the real work to commence earlier. I mean imagine how long it takes to drag increasingly thicker cables over a couple of kilometers of ravine.