They care a great deal about the output, but their priorities and goals are very different from that of their users.
The same holds true for Google. It's not that Facebook could design and build social networking sites that aren't terrible for the health or their users and society, or that Google could build a better search engine/search engine UI. They absolutely can, but that's less profitable.
If facebook can't 'control' the output because of AI or whatever as an argument, thats facebook specific.
Can google control its output? Yes for censoring etc. but Google shows you external self indexed and self analyzed content, Facebook doesn't do that. It has logged in users using their tools to create content and Facebook uses their internal algo to show whatever they want to you.
The same holds true for Google. It's not that Facebook could design and build social networking sites that aren't terrible for the health or their users and society, or that Google could build a better search engine/search engine UI. They absolutely can, but that's less profitable.