It is interesting that the bank is putting out messaging around 5% being the "new normal" and that rates won't drop even if inflation hits 2%. This wouldn't be in line with historical trends...inflation falls and so do rates. Unless the bank is trying to force a reset of the rates/inflation relationship which has been backwards since 2008, which would be a bold move. The BBC news reports that "the Bank had picked up that some households and some in the financial markets were assuming that once inflation had tumbled to more normal levels, that interest rates too would fall" and so has put out this messaging.
The cynic in me thinks the bank want to ensure their monetary policy is being taken seriously by the markets and to flatten any speculation about future rate drops. If people/markets think that rates will drop in the near future, then they spend and save less cautiously and keep inflation higher.
Looking at graphs of CPI inflation vs rates since 2006 it seems that interest rates have very little effect on inflation. Rates remained flat and inflation just "did its thing". So many external influences and factors to inflation that hiking and lowering interest rates are a very blunt tool in this day and age.
Personally I think rates will drop quite steadily once inflation naturally drops down to 2% and the bank is "off the hook" in terms of trying to look capable.