Actually, I would bet my life on it. My concern would be a 10'x10'x2', 40,000lb. door falling on me, not a death trap going off. And as such, I would plan to be at least 20' away and off to the side as I USED A CHAIN TO SIMPLY PULL THE DOOR OVER. Let's be serious here. Even assuming a door like that is set up with a several hundred year old, still functioning death trap, the people who put it there would need a large group of people to a) open it, and b) at least one more to disarm the death trap. All with the materials and equipment available at the time. It's the same thing if I were exploring an old gold mine. I'd be less worried about the Wile E. Coyote trap set up by the crazy old prospector than I am of a mine collapse that could occur because the mine is so old.
So post a picture of one here so we can see what you are talking about. It's the fact that gravity works that undermines the idea of death traps lasting 500 years and still working. Where in the United States is it geologically, biologically and climatologically stable enough for a primitive mechanical device to survive the elements and still remain functional? Florida--the land of endless sinkholes, swamps and tree roots? Colorado--the land of rock slides? Louisiana--the land of swamps, tree roots and flooding? Tree roots destroy rocks as they grow. Snow and ice destroy rocks as they freeze, melt and freeze again. Moisture rots all wood. Rain and wind cause erosion one day, and soil and debris to accumulate the next. People sometimes have to dig down several feet to find artifacts that are 150 years old. Extrapolate that out to 500 years and these death traps could easily be covered by 10'-15' of soil and rocks, and have trees with 24" trunks growing over them. So where in the United States is it stable enough for a death trap to stay intact for this long?