Tbh I'd want a lawn. Not because I like grass, but because of the outdoor space. A community garden with dedicated plots would be a decent alternative, but I like the idea of having some space in front of my home to decorate or cultivate. That said, seeking green space shouldn't be mutually exclusive with density. Build stepped pyramids or something, where each floor is offset by the previous floor's yard so that everyone's yards have sunlight but you're still building upwards.
Also, row houses are a thing. Medium density but still have a small front and back garden.
Listen, I don't blame them for trying to snag a baby. Babies are fucking delicious man. So tender and juicy...
Y'all should try one sometime!