I wonder about that. (edit: that may be true.. but in the same way that one believes "I'll be happier if I'm nicer to people".)
I'll include here the (hilariously frustrating) interview between Jordan Peterson and Cathy Newman here addressing this (wage gap discussion happens around 5mins in):
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The following 3hr video is tangential to the above discussion (in that it's related to morality and social structures), but it's one of the rarer interviews where an interviewer is interested in Peterson's views and not in simply challenging them. (Dr Oz, surprisingly enough). It's also the best one.