I believe it. I know some women like that.
Assuming both parents actually wanted kids, I wonder how often it’s actually the kids compared to how often it’s almost a coincidence that the kids uncover pre-existing issues and tendencies.For example, if a couple doesn’t have kids, you won’t end up with tension because one parent “lets the kids walk all over” him or her - but you’ll have essentially the same tension if he or she lets family,friends or neighbors walk all over him or her. That parent who participates less in child care might do the same if it was an elderly parent that needed care, rather than a child.
It sounds like you have specific, concrete issues that counseling could help you work out. It’s not just for people who are getting divorced. Why not give it a shot?
Wise words, indeed.
To answer the OP, I think probably not as often as they hold them together, but badly. Marriage is hard. Child rearing is basic training for hell. Every bug-a-boo you never wanted to pop up will, and either has to be dealt with or ignored, which is what started good table manners and bad sex.
Kids require commitment. Whether or not we see the joy in them is a reflection of ourselves.
/chortle, choke
I don’t think the kids ever do it, but there are way too many people who have a faltering relationship and try to use “having a kid” as a band-aid. It doesn’t work. There are other cases where the presence of the kid may make an already-existing trait more visible, but again, the issue already existed: people don’t become slobs, or control freaks, because of pregnancy hormones - they already were.
This should be an absolute deal-breaker for any woman who wants children.
As for “do kids cause divorces”, the answer is “You better believe they do.” And if a child was responsible for their parents’ divorce, they know it. 
I started this thread a while back. I do sometimes wonder where all those men go.