It's too mixed a picture. The England or UK average includes a lot of slightly more rural, suburban and more affluent areas where the case rates have dropped like a stone. Where the honourable poster comes from in another bit of yorkshire the case rates never went as high as many other areas but like where I live cases rates are falling much slower (we do have some good weeks which is very encouraging).David points out that the wards are full. I hope in 3 weeks (eg 8 March ish) they won't be. And this is why.
Cases are falling at about 25% a week and are currently (consistent testing volumes) on a 7-day average of 15k pd (that average is @ 6 Feb). If that rate of decrease is maintained (lockdown restrictions and adherence levels both unchanged and not including any vaccination kick-in effect) then by 6 Mar we might estimate new cases per day to be <5k: roughly mid-September rates.
The hospital outlook is very lumpy and variable. For example in this region hospital admissions may take another 6 weeks to fall to very low levels with the vaccine scenario as the daily admissions are still very high and it may take weeks beyond that to bring the people staying in hospital down. What happened without the vaccine last year was a very, very slow tail off over many more weeks. Patients on mechanical ventilation is still unbelievably high unsustainable numbers in so many places.
It's a bit more nuanced in other bits of the country. New admissions to hospital in London and the South West are doing rather better than here. Individual trusts are not doing so well pretty much everywhere.