As others note, it's rare. The best advice is to function check your regs before you leave on the trip, preferably with enough time to do something about it if you find a problem.
I think regulators are like boats - they tend to develop problems when they aren't being used. That's when I've found issues like IP creep or, in one case, a diaphram that developed a problem and caused significant leakage. But, I've never had a problem show up halfway through a trip.
If there is a backup rental option, and you've checked function of your own set before the trip, I wouldn't worry about a back up.
While you're at it, check your low pressure inflator. They tend to fail more often. For 15 bucks and a zip tie, it's pretty cheap insurance to carry one of those.