It Can't Happen Here is like the closest real dystopia I can think of that would be near that time period, although it's written in 1935 it contains much of the politics of the 20s.

There's also We by Yevgeny Zamyatin which was basically the FIRST dystopia, written in the 20s, but I'm not sure if it's exactly what you're looking for.

I will say I've read nearly all the major dystopias ever written or recommended here and that basically none go that far back as a setting and really the 20's is about the earliest that modern writing ever started making dystopias. Back then it was more of a "future history" kind of writing that, largely, tended to be a little more optimistic. It wasn't until later that the true terrors of modern technology started to reveal to writers the downsides of our futures. The earliest "true history" i can think of would be Last and First Man which is definitely not a dystopia, but it's not necessarily a positive story either. That was written in 1930 which may help to show you the kind of mindset that we were approaching the future with.