I have decapped numerous primers with zero issue. I've done it with sizing die as well as with universal decapping die. Never an issue, and all removed primers fired without exception in other brass. While I don't intentionally ruin a case just to see if I can reuse a primer, I have split case mouths or done other damage when the case didn't enter the die cleanly. Thus, save the primer, toss the brass into the scrap brass bottle.
My experience in other forums indicate this is quite common practice. A timid reloader may choose to put on some ear protection in the rather rare case that the primer lights off.
For those that had not, yet, lit off a primer on the press, it generally happens during seating the primer.
On another forum a gent tried unsuccessfully to light off a primer by whacking the anvil with a hammer and nail. Seems primers like to be hit on the bottom.
Now having said that, I have also removed primers that I inadvertently installed upside down (happens with auto-priming on the bench). In these instances, I've also had 100% success, without even putting a dimple on the primer cup.
Slow and steady is the key.
Lest I be misunderstood, I am not advocating for anyone to play with primers. Proper procedures prevent mishaps whcih would render primer removal unnecessary. Let's be careful out there!