On top of everything the others have said, another way this isn't possible reliably is servers that just accept all email and forward it to a catchall address.
Some also have trap addresses where sending email to it will result in putting that address directly into the spam filter and everything coming from it feeds into training the spam filter. I'm an individual, not a company, so all the common IT, HR, support, press, sales, whatever addresses are traps.
When websites force me to enter an email, I enter one of the traps so everything they send me and everyone they share that email with gets the banhammer instantly, and I can track which asshole website did that to me as well.