In the US, a DNR is primarily for a medical setting with staff who've already identified you and confirmed its veracity. Withdrawing medical care creates massive liability so providers are going to make sure they got it right before stopping. Lay people do not have the knowledge to make these kinds of decisions.
I've never been taught to even check for a bracelet during any of my CPR trainings, and my wife who's been an EMT for 10 years tells me they will still run the code after being presented a DNR until until they receive a clear confirmation from their medical director to cease.