The NYT has 65 projects, most of which have a few hundred stars, and many in the thousands.
It's lower for some of the others. But it still seems to me that these publishers default to publishing their code.
BUT: most publishers probably do not run an entirely home-grown system. Indeed, you will find many Wordpress plugins or rails gems among those published projects. And for the homespun solutions, it's likely that they are too specific to a publisher to be usefully open-sourced without a major investment of resources, like the Guardian's undertaking.