Lockring rims are one of those things that send people scurrying because of the horror stories. Everyone has a story about how someone lost their head trying to seat a bead. I am sure its happened, and I am sure someone will chime in, but itis rare and it is usually because of operator error, not a freak accident.
Three piece split rims are a different animal and can be dangerous, but no more so than any other rim/tire combo if you know what you are doing and are careful.
If the rim is clean, the lockring clean, and it is installed correctly, it will pop into place firmly and when the tire bead slides up around it, it will hold it into place. There really isn't much way it can blow off on these style rims unless you had it so badly installed it wouldn't even look correct, or you were trying to mount an incorrect size tire. Whenever I inflate stock military lockring rims, I don't stand on them or over them, but I don't do that with any other tire either. I have never caged them or chained them and I have never had a problem either. If you try to maount a damaged rim or tire, then yes, you are asking to get hurt.
Not saying you shouldn't be cautious, but a little education goes far further than fear and rumor.
"Free advice is worth what you pay for it."™