The article contradicts itself. First it says no passports will be issued, then it says routine applications or renewal requests for passports that come after March 20 will not receive expedited service, and the State Department has said regular service may be delayed. So, which is it? No passports, except life or death situations, or just that there will be a delay? Also the article didn't talk about renewals.
I found this on the government website which clarifies it a little:
If you apply or renew now, you will experience significant delays of several months to receive your U.S. passport and the return of your citizenship evidence documents (such as birth certificates or naturalization certificates). Unless you have a life-or-death emergency, please wait until we resume normal operations to apply for or renew your passport.