In addition to your points, another reason for "flattening the curve" is to give time for hospitals and health care systems to prepare for a spike in cases, so

In addition to your points, another reason for "flattening the curve" is to give time for hospitals and health care systems to prepare for a spike in cases, so that every patient who needs critical care can receive it. For countries like Italy that were hit at the start of the pandemic, this was a serious problem. Where I live, in Victoria, Australia, the state government has used the lockdown time to plan for and deliver a huge increase of ICU beds [1]. Thankfully, it looks like these beds may not even be necessary, but initial modelling suggested a peak of 10,000 active cases with only 500 IUC beds available. [1] https://www.theage.com.au/national/victoria/thousands-of-beds-promised-for-coronavirus-pandemic-may-never-be-used-20200420-p54lip.html https://www.theage.com.au/national/victoria/thousands-of-bed...