As a man in my late 50's and knowing many professional divorced men, I would agree with some of that.
1) Most men feel financially raped by divorce. Even if the split was "equitable", he still lost half his net worth including his retirement. For most men age 50+, their financial future is less rosy than he expected prior to the specter of divorce. Most divorced men no longer have any desire to be the Provider for a future wife. We expect some relative economic parity.
2) Academic degrees aren't so important, but a future Mrs will have fit in with his existing circle. Since we won't be sitting around talking about the newborn baby's diaper problems, she had better be able to hold her own on other topics. I disagree that the lack of a degree would lead to her embarrassing him in front of his friends, but she has to offer some interesting conversation about something.
3) Her adult children do reflect on her, and if we marry then they do reflect on me. To some extent. Everyone needs to be in the same ballpark, with the occasional black sheep excepted.
4) The same religious beliefs is not important to many, but for some it is a big deal.
I would add that older men are looking for a woman with similar interests who is open to new experiences. We are looking for a friend to share our lives together with as a couple. Future marriage in this age range is about having a fun, fulfilling remainder of our lives together, not raising a family or building careers. We have to enjoy a lot of the same things, and we discover new things we enjoy through the other person.
A majority of divorced men over 40 do not have the goal of marriage. This means the woman has to bring more to the table than being sexy, which was a proxy for likely being a good mother of our future kids when we were young with a high libido.
Hmmm, I don't know about some of this.
I certainly didn't feel raped by divorce. I didn't like giving half of what we had to her, but that's not the same thing. The process was fair, I got equal custody of our daughter, and I got a substantial benefit from her (I was between jobs and she had to maintain my insurance until the divorce was final). Also, we both agreed to give up alimony since she had another guy on the hook (which was an idiot move on her part, but I digress).
I've rebuilt my life well and am on track to retire at 62 making more than I do now, with a paid-off home. And I think that's the key to my feelings regarding divorce. I look forward and knew I would rebuild my life to better than what it had been. So I didn't worry about what I had to give her and instead focused on what I would accumulate for myself moving forward. And I was 37 when we split up, definitely not youngster with my whole career in front of me.
And with that life outlook, I'd love to be married again. I would have a prenup, but that would be to protect what I've already accumulated rather than not wanting to share what I make in the future. On a philosophical level, I don't believe I should expect to share in whatever my future partner accumulated prior to our relationship, and vice versa.