If it was simply inflation with wages in all sectors keeping up then house prices would go up.
But house prices are impacted by wages (which can’t keep up with inflation in the short term now), interest rates, how many people are in or out of work, bank lending risk appetite (impacted by view of the economy and future interest rates), individual risk appetite (can I afford it if interest rates go up to 10%? Is my job secure? Can I pay the gas bill?), people losing their jobs because no one has any spare money to spend on whatever they’re selling, etc etc
And the back of England is putting interest rates up to try and control inflation- that usually works because interest rates go up and people spend less on goods and services, demand cools and prices don’t increase by so much. It’s a difficult balancing act.
House prices in the U.K. have been resilient because of huge demand, low interest rates for years, gone from one to two earners, and banks increasing what you can borrow (a 30 year mortgage on 5 times pay plus a deposit from the bank of mum & dad was not a thing when I got my first mortgage in the 90s - 3 times pay over 25 years and no one had any help from parents).
The demand is still there, the bank of mum & dad is often still available, and banks have eased affordability requirements, and the wealthy who aren’t mortgaged to the hilt and keep their jobs will be relatively unaffected, so maybe prices won’t fall too much. Or maybe they will short-term.