That is not at all the same thing as banning an operating system.
This is already present insofar as hardware requirements in radios - radios cannot be permitted to listen on frequencies reserved for cell phones, and must not be restricted in such way as they can be easily modified to enable it (e.g., a header/jumper). This really just extends this requirement that it is non-trivial to enable illegal broadcasting or reception on software defined radios.
Now - insofar as if this should impact open source operating systems, we have a good question. I don't think it does that - my interpretation, potentially wrong of course, just as the article's could be wrong, is that you would have to restrict the actual firmware in question to a blob that communicates with the hardware in a secure way. This would prevent open/free components insofar as the actual driver, but would not permit the operating system itself from being installed. They mention this, but only at the end of the article.
I also doubt the impact of this for non software-defined/modular radio systems. I don't see a way this would really impact everyday wifi or non-modular systems in a way most people would care about. That isn't to say it isn't _bad_ but once again, it just seems super misleading and alarmist.
Whether or not the FCC should or shouldn't do this is a different question, but the link's title seems intentionally misleading.