Firstly, if you have evidence that they're lying it's incumbent on you to provide it. You're also explicitly bringing politics very firmly into this thread with said point. Secondly, yes, that's what a lock down is. You shut down as much travel as possible including all borders. Thirdly, yes, a hard lock down generally only needs to last between 2-3 incubation periods of the disease, 30-45 days in the case of Covid. We very much have seen the model for containing the spread of Covid and it's the same for literally any other airborne or droplet borne disease. The data overwhelming suggests that a lock down in combination with widespread testing and aggressive contact tracing is precisely what is needed to combat Covid.