Really? Care to share the numbers with us? Because orphanages are no longer a part of the adoption system in the United States - for all intents and purposes, they no longer exist in this country. A very few still exist, but they're pretty much extinct.
So as far as bull#### arguments, you pulled this one out of your ass.
If you've ever tried to adopt a child, you'd know already that demand for children far exceeds supply, at least in terms of healthy newborns. I have, I've adopted two, on my third and many of my friends and family have adopted. It was wonderful to my ears to hear my daughter say she wants to adopt children when she grows up.
That said, there are a LOT of children in the foster care system who need homes. Foster care is different from babies given up for adoption - in most instances, these are children who do have living parents who, for whatever reason, are no longer able - or permitted - to continue to raise them. Most of these children are NOT babies (in fact, average age is well into school age), so they're really not pertinent to the discussion. If unwanted babies were given up for adoption, the demand for them would easily absorb them; it's THAT high.
So you know what? The argument DOES hold up to scrutiny. YOUR argument is the one that doesn't.
There are orphanages in US - many may be called children's homes and many children up for adoption wait it out, moving often from family to family in CPS or foster homes.
Corazón de Vida - USA
Covenant Ranch - USA
Angel Guardian Orphanage AGO Hangout - USA
Angel Guardian Orphanage - USA
McClelland Children's Home (now School)- USA
Goodland Presbyterian Children's Home - USA
Buckner Children's Home - USA
St. Joseph's Village Rockleigh - USA
St. Joseph Orphanage - USA
Rose of Sharon Association - USA
Oxford Orphanage - USA
Florida Baptist Children's Homes - USA
High Plains Children's Home - USA
His House Children's Home - USA
Presbyterian Children's Homes and Services - USA
Orphan Foundation of America (OFA) - USA
Milton Hershey School - USA
Arkansas Baptist Children's Homes - USA
Baptist Children's Homes of North Carolina - USA
Bellewood Presbyterian Homes for Children - USA
Bethel Bible Village Children's Home - USA
The Palmer Home for Children - USA
Unite The World (penpal service) - USA
Charleston Orphan House - USA (former orphanage)