I have started my car several times on jack stands.
I have done that to check for leaks when I reworked the
oil lines to the remote filter and several occations to check the filter after an
oil change.
When I rebuilt my headers I ran the car to check for exhaust leaks in the pipes, collectors and mufflers.
Whenever I put my car on the jack stands I stand off to the side and "try to rock it off the jacks" just to make sure they are firm.
I also have a 2" thick wood base under my jack stands and I try to use a wood block under the frame. If I can't put wood under the frame I make sure the steel head of the jack stand can't move anywhere on the frame member. When I put them under the a-frames I have the shock bolt in the saddle of the jack stand to prevent any metal to metal slippage.
Engine torque will not cause the car to fall off properly installed jack stands, neither will high rpm. After all, the jack stands are the safety divice we use to keep from crawling under a car that is just on a jack.
For a jack stand to tip over, unless it fails structurally, the car has to go up a slight amount. Gravity does a pretty good job of limiting that action. Think of a right triangle, one leg is the distance form the outside of the base, of the jack stand, to the center, the vertical leg is from the center, at the bottom, to the point of contact on the car and the hypotenuse is the distance from the point of contact on the car to the outside edge of the base. The difference in length of the vertical leg and the hypotenuse is the amount the car has to go up for the jack to fall over.
I bought a set of ramps, my son and his friend went to use them, they collapsed when the friend drove up the ramp too fast and slamed on the brakes to keep from going over the end.
After that I welded some angle iron braces to prevent any such action in the future.
The problem I have with ramps is that they are hard to keep in place while getting the car up on them, especially on a smooth surface like a garage floor, that is why my son's friend was going a little too fast, trying to get the car on the ramps in one operation.
If you can put a brace from the ramp to something solid then it can't slip, or put some concrete anchors in the floor to secure it in place.
Another alternative is to have some kind of mesh, cable, chain etc. attached to the foot of the ramp and drive on it while getting on the ramp. That means that the extension has to be under both wheels on one side (on both sides) to keep the ramp planted while going up the slope. I have had the ramps slip even when the drive wheels are trying to go up the slope.
The other thing I don't like about ramps is that they don't quite get the car high enough to work comfortably under it.
As ususal, one persons opoinion. Don't try this at home without adequate supervision and don't "pop the first Bud" until the car is securely up on the stands.