Just take the bloody test if you are ill and protect the rest of us
Given someone is ill and they come up positive, then there is a good chance they have Covid-19
If someone is not ill but has been a contact (eg at school) with someone who has tested positive (as above), and they come up positive, then there is less chance it is Covid-19
If someone is part of a mass screening programme, and they test positive, then there is far less chance it is Covid-19 - if the test used is one of the more unreliable lateral flow tests.
(So those positives should be followed up )
There should also be proper help - financial etc - to encourage people to self isolate - and to ensure that positive tests are confirmed.
Because 2 weeks self isolation is of major concern to some people - especially with regards to job security, income etc.