[0] https://www.forbes.com/sites/davidnikel/2020/04/14/sweden-22...
The fact is Sweden has no full quarantine and they have less infection rates and less fatalities per capita than many countries with full quarantine.
It's clear that full quarantine may not be effective.
Fortunately, we don't need to go to such extreme measures to get the replication rate below 1, but my point is, that extreme measures absolutely do work. The virus isn't magic; it needs to spread through relatively close personal contact. If you eliminate personal contact and sharing of spaces entirely, it cannot spread at all.
But is it more effective than simple washing hands and social distancing?
I think Sweden is proving that it's not.
Additionally short of what you're proposing...full total lockdown...the virus isn't going anywhere...it will be in society when we emerge from quarantine immunologically naeive ready for another wave of Corona.
It should have less than Sweden if quarantine is effective.
In Sweden, there seem to have been only very few initial cases and the virus seems to be slow to spread there - it probably helps that Sweden is over 80% larger than the UK and has only 1/6 of the population. Also, at this time of the year it is much colder than the UK, less reason to be outside in big groups.
If you check the infection graphs, in the UK the quarantine finally seems to have an impact on the infection numbers, which stopped growing a while ago. Sweden still seems to have growing infection numbers.