Those countries started trying to reign things in while Trump was playing down the dangers. I'm actually kind of proud of Trump for getting with the program more recently though but the type of healthcare was never the issue with us or them. Let's squelch that desperate ploy now.
Your "history" is a bit off. When the CDC was telling folks to continue to travel... Trump stopped travel between Wuhan province and the US except for citizens. Those countries, especially Italy, did nothing at all letting Spring Break students drink, meet, slobber all over each other and pass it on to their folks...
Italy was basically Woodrow Wilson during the Spanish Flu pandemic. Telling folks that it was okay to party, travel, and get their freak on with strangers... (Shoot, Wilson had a frickin' parade in Philadelphia which literally filled every hospital bed in Philly the following day).
<shakes head>
Folks, especially the left, literally were upset. yeah making fun of and yelling about it, that Trump was adding travel restrictions before they thought it merited it, but you "don't remember" because you don't want to recognize that the US actually reacted while others fiddled while the corona burned...

