Yes, the US alerted allied nations of a new disease that ought to be watched. Similar warnings went out for SARS, MERS, and Ebola, as well as (for example) the 1968 Hong Kong flu.
>The ban on China travel came two months later. Two months of inaction that have cost a lot of lives.
"Patient Zero" arrived in Seattle from Wuhan on January 15. At that point
* The WHO was still denying that COVID19 could be spread by person-to-person contact.
* Trump was still impeached by the House of Representatives and awaiting trial in the Senate.
What would have happened if on January 1 Trump announced the only thing that would have prevented COVID19 from arriving in the US: A complete and indefinite shutdown of all land, sea, and air borders?[1] Trump would have been denounced by the entire world as a racist sexist fascistNaziKKK preparing to seize unlimited power to avoid being removed from office, using the thin pretext of a disease that seemed only China's problem.
>"[the Democrat's] new hoax"
No. Trump called the Democrats' response to what the administration was doing about COVID19 a hoax, consistent with his describing what led to his impeachment as a hoax a few sentences before the above words.
[1] And before you say that that wasn't necessary, that a 14-day quarantine would have been sufficient, a) That time period wasn't known for sure then. Very, very little was known about the disease or SARS-CoV-2, partly because China wasn't saying anything and WHO wasn't inclined to get China to talk. b) A 14-day quarantine for all visitors is effectively a shutdown of the border. Very, very few people are willing to visit any country that mandates such a thing at entrance.