I think people (internationally) did not appreciate the challenge that the then 'new' variant of concern posed in UK from October onwards. The B1.1.7 variant increasingly became the dominant variant (we know this because of the UK's genomic analysis capability). Its 50% greater transmissibility meant that restrictions increasingly applied (or not for the 2 days around Christmas) did not get the 'R' number under control hence the surge in October turned into the ghastly second wave, peaking in January. Externally this was seen as UK just not getting its controls and community discipline right.
Perhaps other nations who weathered their second wave well (with the less virulent original variant) can now see with their third wave how a virus variant which is much more transmissible seems to require sustained lockdowns (UK 4 Jan to 28 Mar). I hope they can individually get the balance right, but it will be a test for each nation. UK maybe an island, but we are part of Europe and the increased prevalence on the continent will likely create constant reseeding which will be an additional burden on the track/trace/isolate mechanism. It looks like control on travel abroad from UK is being tightened up with revised legislation and the threat of fines, but what controls exist on people from abroad deciding that travel to UK is a 'must'? Do we test the reason for entry to UK at the border (Kent or airports) and send people back?
By Easter the UK will have vaccinated all its most vulnerable element (JCVI Gps 1-9, over 50s plus plus): about 32M so a wave [of] serious illness and deaths will not result from rising cases. But the other 25M over 11s will still be unvaccinated and even if some of those 25M have antibodies from previous infection (maybe 4M), the population susceptible to infection is still 20M+. It will be difficult to keep R below 1 after the May planned relaxations. But we'll know from the data what the score is by early May: I hope that properly informs decisions.
Edit: I do think that, given the relatively uncontrolled travel within the British Isles and anyway, we ought to sell/send a wedge of vaccines to Ireland to help them out in their EU vaccine lacuna.