Per Nelson, this policy of not blessing or baptizing children is endorsed by Quentin L. Cook (another apostle), who was previously stake president in San Francisco, who describes ministering to 17 men in his stake who died of AIDS.
https://www.youtube.com/watch?v=1F1_bW5dtfQ
And of course there is Todd Christofferson whose brother is gay, was excommunicated, and reactivated in the ward in his area with his partner. There were media reports about this. I've been told that the most recent news is that the brother has been rebaptized and has divorced/broken up with his prior life partner.
Anyway, it's not like this policy was unanimous due to pure lack of ignorance when it comes to gay persons. These two are clearly documented to have worked with and been around gay men.
I would love to sit down with both of these men, look them in the eye, and ask them to explain to me how they came about these decisions. These two men. Not the other men.