This effect is evident just from different death rates per capita in countries that have similar demographic and housing situations, e.g. between the Scandinavian countries.
These workers would like to follow the general guidelines and stay home if they have any symptoms, but they generally work hours, not salary jobs, and can't miss too much work.
If they had the flexibility and leisure a lot of the swedish middle class experience at their office jobs, being able to call in sick, then more of the care workers could have obeyed the recommendation by the health authority.
But for now it's a low-wage, high pressure sector with less than ideal working conditions.
To add to that, the same patients meet very many different caregivers during a week due to the same working conditions, and this is also not good for preventing transmission.
It's easier if rather than "lives saved", you look at "life years saved". In this sense, somebody in their 80s who only has a couple of years left dying early is equivalent to the situation of a young adult being pushed into poverty by the lockdowns and never managing to recover a middle-class lifestyle, so they die a couple years earlier (I'm not sure about Sweden, but in English speaking countries poor people on average die a few years earlier). A 20-year-old commiting suicide due to sudden poverty, or depression from being locked inside, is equivalent to twelve 80-year-olds who have five years to live dying early.
if 12*(lifeexpectancy@80) > lifeexpectancy@20 and if (20 year old will commit suicide due to poverty or depression) then 12 oldies get to die.
That sort of reasoning is faulty in so many ways that it would be bothersome to work out all the various ways but let's start off with the assumption that those 12 people are not just as eager to live a few more years and that those last few years may be more precious to them and those around them than a 20 year old that may or may not commit suicide.
This sort of cold-hearted calculus is not going to solve anything at all, merely create rifts by polarizing what it means to be 'young', 'old', 'suicide prone', 'depressed' and 'suddenly poor'.
Being 'suddenly poor' is really hard in Sweden by the way.
There are many reasons why death rates increase with economic hardship and I do not think this is a significant one. More significant are changes to factors which are already leading causes of death (cancer and heart disease). In the short term, examples are how many treatable cancers are not being found or how many people are skipping other medical procedures. In the long term, how many life-years would have been saved with tax money which is lost. Even with socialized medicine, countries have budgets which need to balanced, and not every procedure is available to everyone who could benefit.
This study [1] estimated 260,000 extra deaths from treatable cancers from 2008 to 2010 in the OECD. One should ask how will this scale when additional diseases are considered and how the current economic impact will compare.
I'm not saying that I know what the correct choice is here, and perhaps we will never know, but it isn't as simple as saving lives vs suicide.
[1] https://www.thelancet.com/journals/lancet/article/PIIS0140-6...
Unfortunately, the pubic ( at least in the US) is dividing into camps which largely ignore this fundamental question. Either any action which which increases covid deaths is amoral, or the economy should be the primary concern. In reality, the real question of how to optimize quality adjusted life years has been squeezed out of the conversation.
However "cold" the reasoning is, it doesn't change the fact that there are people who'll die decades earlier now than they otherwise would have without the lockdown. I don't see how sixty years of a young person's life is worth any less than 60 years of multiple old people's lives; the only difference is that it's easier to see the direct consequences (old people dying now) than the consequences that take years to materialise. Ignoring and not measuring second-order consequences isn't warm, it's stupid.
While there are some undeniable social (think multiple generations in a household), geographical and cultural (swedes are notorious in keeping their distance from other swedes) differences at play here, other European countries have gone for a "people can't be trusted so we must restrict individual freedom". While there is certainly some good reasons to think that this will work the means used to implement this have some really sad consequences. Look at France, people are getting fined and in some cases brutalized; protests are sparking in places where strict measures have been implemented, not because they are unfair but because they affect people unfairly! Easy for well-off people to "leave early, far and for a long time" but far from everyone has that luxury (oh if you understand French, check out Twitter on the "lockdown diaries" parodies and compare that to how people in the suburbs of Paris are being treated!). This is without even starting to talk about how the economic impacts will be spread amongst social classes. To me Sweden has chosen the most socially (in this case as opposed to morally) fair route to handle this crisis.
That being said, it's morally very difficult to defend this strategy in the face of a higher death toll amongst seniors in care homes. I cannot come up with a single argument that I don't know will get shot down immediately and that is a good sign that it's probably not morally optimal. We live in a time of humanism and human life comes first, rightly so but even with that said, it shouldn't hide the picture and justify every consequence out there. The approaches in many countries are incredibly reactive and short sighted in that regard.