I don't know about the UK (where this study is based), but wealth distribution in the US is extremely top-heavy [1], and there are a bunch of surveys showing that most people drastically underestimate the inequality [2]. I think it's hard to predict the political effect because a lot of people have these unrealistic ideas of how income and wealth are distributed, and it's not obvious how durable those misconceptions would be in the face of a concrete redistribution policy. That is, how many people would still believe that the policy is bad for them if they could go to the IRS website and be told they're getting a bunch of money?

[1] https://www.politifact.com/factchecks/2011/mar/10/michael-mo...

[2] https://www.npr.org/templates/story/story.php?storyId=130395...