I think some take 'zero covid' a bit literally as though it is an instant thing. New Zealand has been lucky that zero covid literally resulted in extended zero covid rather quickly.
The real meaning of zero covid is 'constantly reducing levels of covid, to zero if possible'.
Therefore pursuing zero covid is always going to result in lower cases - because when that is your objective you keep going after every case etc. But no single option will get you there.
The UK has not had any strategy. It has wavered, wobbled, dithered, dodged, u-turned, fumbled, fudged, lied, obfuscated and, sadly, fucked up.
What was the UK trying to achieve? No one, not even Johnson, knows. There was utter blether about 'striking a balance between health and the economy'. I guess they gave achieved this because they are both equally fucked 
To succeed you need to know what you are trying to achieve.
The UK had no plan. It still has no plan.
We should be pursuing 'aggressively reducing covid as much as possible'. What we are actually doing is 'as little as possible until the vaccine kicks in'. Therefore we will be over 100k deaths before we know it.