I also prefer stands, but not for safety but because they are easier to work around. Can also get the car higher.
I also usually feel safer puting the car on them, ramps move sometimes and I'm always afraid I'll drive off the end.
Stands can sink into soft surfaces though, and sometimes I worry abou the pin breaking. I've also seen really cheap ones that had the legs spread and bend.
I'd say they're both somewhat dangerous.