The Disney email is meant to be helpful, really. And it doesn't mean the NBFP are gone. They will probably still last another 24 hours or longer. The email is just a reminder to make sure you know you have a profile in need of a ticket. While that's true, it's also true that Disney is tightening up the loopholes. We don't know for sure if actions on the MDE can result in an account being locked, but it's possible. So it might be best to avoid NBFP (which features profiles from which tickets have been assigned away but temporarily retain FP) until we know which way the wind is blowing. If you don't have enough ticketed profiles amongst your friends and family that can be used as donors, just book SDFP at the kiosks (on bands with no tickets) and use Change Party to convert the SDFP (which won't work after June 6) to CPFP (4th, 5th, etc. FP) on your entry bands.
On June 5th, book your SDFP - then check this thread to see if anyone has reported successfully using SDFP to enter a ride that morning. If there are no reports, I would just give it a try, if I were you. If you have to phone Guest Services (you don't have to walk to Town Square), it's not a big deal. Then you can be our hero as you report back to the thread and tell us what happens!! You know how Disney is with delays - it's possible that SDFP will continue to work for weeks or more. On June 5th, I'd sooner take a chance entering a ride with SDFP from the kiosks than I would with using NBFP.