The question should not be "is it normal for brides to not want to be around their mother?" It should be, "Does every mother-daughter pair have a good relationship?" The answer is "no."
Why is something from 10 years ago bothering you so much? Is it because your own daughters are getting older? Did you address this with your friend years ago to find out?
Some people are just unhappy. Maybe you didn't know your friend as much as you think you did. Or maybe she didn't share with you the dynamic in her family. Maybe the wedding (which you say was over the top) brought out the worst in everyone, and gave them just too much "together time" and your friend wanted this reception to be about her and her new husband, not her mother's need to fuss and bustle around.
I think there are 2 lessons here.
One is to nurture relationships with your daughters all the time, not just for the wedding day. You want to be in synch with your kids, as much as possible. That will help them through all kinds of events, from happy occasions to traumatic and stressful life happenings. That should be the goal. Everyone having to "fake it" through a big showy event and try to take care of and greet 300 guests puts a strain on everyone as well as the wallet. Perhaps that's what happened to your friend.
Two is to have better communication before a wedding about what each person expects from the it, and what would make it meaningful. Sometimes parents get so into the planning, they forget what it's about, and the married couple are doing things they don't want just because someone else is paying for it or pressuring them, or both.
My parents planned every stitch of my first wedding. If they'd been less involved, I'd have canceled it and not gone through with marrying someone I knew I wouldn't stay with for more than a few years. My 2nd wedding was done by me and my fiancé, and it was totally US. We loved it, and we've been married 34 years. My brother's first wedding was a nightmare because his wife's mother was mentally ill and had abused her daughter. The whole wedding was spent wondering if she was going to make good on her threat to stand up mid-ceremony and slap my mother. But no one had the courage to not invite her either. So yeah, that was one where "keep her away" was a safety issue as well as a social issue. I can assure you no one enjoyed that wedding either.
I think it's better for you to spend less time being sad about one day when you know so little about the background, and spend more time cementing your relationships with each daughter as well as their relationships with each other, so that everyone feels support but also has room to breathe and be themselves.