Modern web standards are attempting to render plugins like java, flash, and silverlight obsolete, because they're fragile, not universally available, single-sourced, proprietary, insecure and generally inconsistent with how the rest of the web works. There is an effort from various direction to kill off content viewer plugins like them, and the APIs that allow them to exist, and it appears it's going to succeed.
You're right that EME is meaningless one way or another so long as plugins exist--That's why EME exists at all, it's essentially a new plugin architecture that solves none of the problems of the previous ones. It's a bad idea for the same reason plugins are.