I think it is a mistake to judge a person's intentions or attitudes towards children simply because they prefer to have an adults only wedding.
There are a million reasons and rationals behind why someone would or would not want children in attendance at their private function.
When DH and I got married, I was a kindergarten teacher and had a 10 year old DD of my own. I am friends with many parents of my former and current students. Obviously I am also friends with my co-workers.
We chose to not have children in attendance for several reasons: I wanted my co-workers to be able to enjoy themselves, drink, dance whatever, without having to worry about whether a student might be watching them. Sometimes it is nice to just be an adult and not a role model.
Secondly, I did not want a couple of children from my class/school to attend my wedding and come back to school talking about it to children that were not invited. "Why did you invite Timmy to your wedding and not me, Miss C?" Ummm....awkward and hurtful to a small child.
And finally, cost. DH and I were footing the bill for our entire wedding and the cost per meal for a child is the same as an adult. If children were invited, we would have had to significantly reduce the number of friends/family that we could invite. We'd rather share our day with the adults that we have relationships with than leave them out so other people could bring their children.
DH's aunt was miffed that her grandchildren were not invited, as "They are really sweet, well-behaved boys who wanted to share this day with us and should have been an exception since they are related." Maybe they were sweet and well-behaved, but I had never met them during the entire 2 1/2 years I had known DH. DH had not even met the youngest one.
At the time, we did not have any friends of family with infants, but they would have certainly been welcome. Having a baby crying during the ceremony was not something I even considered as a problem. However having a baby crying during the vows would have been preferable to the pastor calling my DH by the wrong name, twice, during the ceremony.
Anyway, I don't consider myself or DH to be arrogant, snotty or child-haters. We are, in fact, very fond of children and pretty down to earth people who just happened to have had personal reasons for not inviting children to our wedding.
As for this particular situation, when my DS was 7 months old, there is no way I would have or could have left him for any amount of time to go to a wedding. I would just have to send a gift and my regrets and look forward to attending weddings again once he is old enough to be left with a sitter.