Hey guys, I’ve been following this thread from the beginning and am frantically waiting for decisions. The wait is agonizing.
I called Princeton today and both the undergraduate admissions office and the financial aid office confirmed to me that the FA email has no bearing on admission. The FA office first told me that their office is completely separate from the admissions office so it doesn’t make sense for them to send it out to likely students. They also told me it’s merely a paperwork thing and I shouldn’t read into it whatsoever. Sorry if I’m killing anyone’s hopes, I myself got the email and was semi-excited. 
Good luck to all.