"Social distancing" was not quarantine. It was a recommendation to reduce the frequency of meeting with others, but it wasn't strictly enforced: you were allowed to go out and do things, but in limited capacity. And this was both for your own sake to some extent, and for the sake of everyone else to some extent - and it was explicitly presented as such, at least in more in-depth discussions. It wasn't just "stay home, stay safe", but "stay home, keep yourself safe, keep others safe". Especially since the main goal has always been to avoid overwhelming hospitals with serious cases, since the most disastrous death rated were seen in areas where this happened, at the start of the pandemic (in Wuhan, in the Milan/Bergamo area, in Iran).
You still had actual quarantines during the pandemic - anyone who had a positive test and anyone who had been in direct contact with them for the last X days, were often strictly forced to stay either at home or in isolated hospital rooms. This was quite explicitly not for their own sake, but to keep the public at large safe from them.