Regarding the ongoing with Covid or of Covid debate, the Institute and Faculty of Actuaries compiles a weekly summary of actual deaths versus expected deaths in order to determine excess caused by the pandemic.
Their latest published summary (week 47 2021) estimates 116k additional deaths.
The government figure is 146k so the IFA's estimate is that approximately 20% of those would have died anyway (so probably with Covid rather than of)
The CMI publishes regular analyses of mortality in England & Wales:
www.actuaries.org.uk