If you have quality jack stands (not the cheap punched metal one from China) and you place them in the right place - the jacling points, these are more than safe.
Figure you're placing 700-800 lbs. on each one (mine are rated to 3,000 lbs.) and that is more than enough to really anchor the car down.
An old wrencher's habit that I always use too is to place the road wheels on their side and place these under the sides of the car. That way, if by some unforseen event (earthquake or such) occur and the car fall, it would likely pin you under the car, but not crush you.
I've worked under jack stands for years and have never worried about them being safe... but I always place them carefully and make sure that I use little of any lateral force on the car as this is where they can become unstable.
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