Somewhat. They might not be a native English speaker, and granted while some would argue that should be mentioned very early or at least at all, I tend to say what employers ought to be looking for are the things that directly impact the candidates ability to prove they're worth the salary the position offers. This does involve communication, but it's not, nor should it serve as a be-all-end-all.

If nothing else, it's worth it to the employer and the employee to invest in a course audit at a local university to help improve those skills. You might be surprised to see if that helps improve retention and reduce the attrition of human capital. Especially if you include those types of programs to your organization to improve key skills.