Chinese links didn't matter. Patient-0 in Europe was tracked to Germany in January. The most affected Italian areas do not have a particularly large official or unofficial Chinese population - but have massive economic and social links with Germany. The areas where the Chinese concentrate, like the Prato mentioned in your first source, saw no cases - they all voluntarily self-quarantined as soon as the emergency exploded in Wuhan, and kept that discipline going.

Italy simply pays the price of a very elderly and weak population, coupled with a decades-long shrinking of public healthcare. Even in Lombardia, one of the best regions for healthcare, intensive-care units in public hospitals were instructed "in peace time" to run close to capacity as much as possible, in order cut beds and save money. This is how we ended up with less than a third of the capacity of Germany, and when shit hit the fan, it wasn't enough.

(Also, Germany is kinda fudging the numbers. They don't record deaths as Covid-related unless covid was absolutely the only health issue a patient experienced. That's not how victims are recorded in most other countries.)