My friends are some good dudes, who've always paid support, and had regular visitation with their kids.
But to a ONE, they all talked that getting 50/50 custody mess, and never ever ever really tried because they'd rather pay support then give up the freedom.
So I don't know where you'd find that in a statistic, but I don't know 1 dude who's
actually gone to court and tried to get full or half custody.
Just talk, about what they "should" do. They're good weekend/summer dads in the typical sense, but I see some of them regretting it now that we're 40 and they and the kids are old enough to realize that they could have done more.