Absolutely not, because you could measure a substantial decrease in mobility before any region instituted a lockdown.

You can support working-from-home and furloughing without forcing it. And that's enough.

Last autumn in Sweden, cases started rising, still no lockdown, and people voluntarily decreased their mobility. Everyone I talked to decreased their social activity, skipped out on things, stayed home more. Without being told to. Without being ordered around. It's enough.