My personal policy is "You might die, but you're not gonna die here." (Never, ever, EVER said out loud, for the record, and of course does not apply to hospice patients.)
Unless a DNR also has a DNH (Do Not Hospitalize) in place, out they go if it is their or their POA's desire.
If either decide that they are not to be sent to the hospital, I will document my butt off in a very detailed manner. Names, times, MD notification of resident/POA wishes, verbatim quotes, etc.
You may also want to ask for clarification with your management team.