@GalOopNorth I accept what you're saying to an extent- I might be wrong. I'm not convinced I definitely am wrong about there not being lots of community transmission cases in the UK.
It's worth looking at evidence from other countries. In the Netherlands, they found community transmission cases when they had only done a few 100 tests. In Spain, they found a case who had sadly died before they even had known cases in the country. In the US, there's clearly lots of community transmission.
In the UK (as in all countries), there are obviously some undetected cases. I personally think the number of undetected cases in the UK is smaller than in other countries. Testing is one area where we are being really responsive- as soon as it came out about undetected cases in ICUs, we said we would test everyone in ICUs.
It's worth noting that if we increasing testing numbers, the system will get clogged with tests of people who don't have coronavirus (like most of the tests being done in the UK), and it will be harder to pinpoint cases.
I do think we are following a slightly slower rate of increase in cases than other European countries- however to keep this up, we need to change our travel advice, and possibly even implement some aggressive travel bans.
If people are still travelling relatively freely to all of Europe bar 11 towns, then we will soon have lots more cases in the UK and be unable to continue to contain it.