The admin may know what applications they are running in the container but I can bet you they don't know every library that container is shipping and I hold very little faith that these admins are going to pin a laundry list of every single container they run along with all the different versions of libraries each container is bringing and constantly checking that list for CVEs. This problem increases for every single container you bring onto that server.
Edit:
I love containers, don't get me wrong. I've seen first-hand how incredible it is to be able to set up an application inside a container and then remove that application and have no residual packages containing the libraries and dependencies that program needed. I get it. I just don't like how dependent we've become on them.
Now I'm a network engineer first, and server admin second. I don't want to spend a majority of my time pinging container maintainers to update their dependencies when an updated version of a library comes out. I expect to be able to update my local copy of that library and get on with my day and not have to worry about when this library is going to get patched in each of those containers.