As Penny S pointed out, this isn't a new solution. I remember an episode of "Mash" in which this a key plot element was a swing hatch in a Catholic convent in Korea. (As I remember it, there was a half-American, half-Korean orphan baby, and the US authorities, unlike other countries, wouldn't accept any responsibility for such children. So they ended leaving it the hatch for the nuns to take on.)

In the media coverage I've seen there has been a number of people attacking the idea. Given that the hatch is seen as a last resort solution, alongside attempts to make help available to mothers trying to look after their babies in difficult circumstances, and an option for them to meet with someone and hand over the baby personally, criticising the idea seems strange to me.

I suspect it's something to do with people not liking to admit that things are bad enough to require this kind of desperate solution. It's just not nice.

I used to know a great lady who ran a cat sanctuary. She was always having parcels of kittens left on her doorstep or even through her letter box. She got a bit fed up at times, but, as she said, a lot better then someone drowning them. That goes for human babies too.

I was trying to think of any songs about foundlings - the only one I can thing of right off is BASKET OF EGGS. But there have to be more.