That sounds extremely annoying for the people receiving these emails, right?

This will probably hurt your chances, bypassing the normal interview process is usually frowned upon.

Be gentle. When I get an email like this, I appreciate the cleverness, but I direct the candidate to our normal intake process.

If they persist, it's an immediate no-hire. Can't Follow Instructions / Main Character Syndrome.

This is a great idea of course but it’s kind of hilarious because if your tool ever became even a little popular it would completely destroy itself. People will find a way to filter stuff like this out because it will be incredibly annoying.

You should add a “polite” setting if you don’t already have one that only searches for hiring managers and stuff. Maybe you’re already doing that though.

Same as others have said. Unless you're targeting single digit amount of people start-ups this is a bad idea.