The article is poorly written and contradictory in spots, but I think the Wharton model says 350,000 would be the death toll by the end of June, even if we re-open.
From the article:
"According to the Penn Wharton Budget Model (PWBM), reopening states will result in an additional 233,000 deaths from the virus — even if states don’t reopen at all and with social distancing rules in place. This means that if the states were to reopen, 350,000 people in total would die from coronavirus by the end of June, the study found."