No, it wouldn't because when you pay tax your money isn't being flushed down the toilet. You don't understand at a fundamental level how the govt works in the UK.
The US suffers from both a high tax burden and poor services. We just tend to nickel and dime our taxes more but it doesn’t really matter if you’re paying 1$ to the feds in income taxes, pay 1$ to use a state’s toll road, or 1$ to a “fee” your town tacks on the water bill.
Looking at total government spending as a percentage of GDP doesn’t show differences in services but it does show just what it all costs.
And yes, it does have everything to do with govt policies because you are getting value back.
It is like saying taxes are high in Nordic countries, ignoring the fact that most of what you pay is returned to you. Saying that doesn't impact demand or the price level is not accurate, and misunderstands (again) at a fundamental level how govt operates.