Could you please provide a source that states that lockdown = no driving? Of course, there are very few places open to drive to, but my understanding was that people could still drive to places that were open (groceries, etc) and for all practical purposes could drive around as long as they have little or no person to person contact with anyone. Especially delivery people, truck drivers, etc.
So I'm not sure the onus will be on employees, but rather employers, to go into lockdown. Of course, in areas where the majority of people do not drive personal cars on a daily basis the lockdown is handled differently.