Yes it's Covid related, but each country can make their own mind up.
Yes, the article in the op's link states;
"EU member states can override the European council recommendations in theory, should they wish to."
On the other hand;
"Under its latest emergency decree, the Italian government will require everyone arriving from countries in the EU or Schengen Zone to test negative for Covid-19 before entering Italy."
"The new rule takes effect from December 10th, and unlike previous orders, it states that travellers will need to get tested before arriving in Italy or face quarantine."
"Until now only a handful of countries, including Spain and the UK, were subject to mandatory testing..."
www.thelocal.it/20201204/italy-makes-coronavirus-testing-mandatory-for-all-arrivals-from-eu