Wait, do you mean that less pressure on men to provide is a result of a declining gap?
If so, I think some people are mistakenly parsing your statement as "child support is a method of correcting the wage gap". I myself parsed it that way at first glance.
Err, I think so? The social pressure to marry and raise a family is a big part of the wage gap in the first place. Remove the social pressure, and it's going to help equalize the economic choices that the sexes make.
Dalrock writes an interesting article related to Dr. Helen Smith's book the Marriage Strike. I really have to bump it up on my too rapidly growing reading list. (^_^)