I think that is not the case. The middle classes in the USA have been hollowed out, mostly down to decreasing wage and increasing costs of healthcare, property and education.
The UK only has one of those problems: property costs.
University is funded by an (unfair) tax, which is transparently aimed at the middle income earner. We are fixated on calling it a loan, when its not. Unlike the USA its not going to bankrupt you.
Healthcare is funded by taxation, and is for the average person significantly more comprehensive than the USA.
In the UK, if you are middle class, then you are most likely alright. if you are working class, then you're fucked, because your jobs don't matter, and the safety net that once existed acts as a 100% tax for single mums with jobs (universal credit).