I'm sure an unnamed agency would have conniption fits over the way the tires are mounted. Using a cage would make it a much more difficult task and result in more "incidents." With the tire flat on the floor, the rings go straight up if they blow. If the bead doesn't rise uniformly all the way around, you need to whack the safety/flat ring with a hammer to nudge it. That jars the safety ring up which wedges the lock ring into the rim notch. It's obvious which rim/ring combo is going to be a problem. If there's a hint of a problem I disconnect the air line from the header, not the tire, and let the tire bleed out and go back to square one after removing the rings.
I don't stick any body part in harms way until I've verified that the lock ring is seated in the notches on both the safety ring and the rim. When that happens the lock/split ring is caged. The factor which makes a difference is that we only use new lock rings and the rim and safety ring have both been blasted and painted so you're not dealing with rust which complicates things.
Keep in mind, I'm also using new tires. I'd be more worried about trying to mount a used tire. In that case I'd insist on a cage in case the tire failed catastrophically.