>Not the case in France (at least for the past 20 years), and I doubt it's the case in most other European countries.
Nope, your parent is right, in Austria you also don't get healthcare if you don't work or are looking for work via your local job center.
Maybe France is an exception due to having stronger social system that heavily favors the workers (insert memes about strikes) while in Austria the system is very rigid, designed to favor businesses and the government rather than the workers and to discourage abuse.