I wondered that also. So I asked the guy doing radiographic testing of welds at work about lead I got from a dental office demo.
He compared it to shining a flashlight. Once the light is turned off, the object no longer contains any light.
I suspect that if the old lead sheets were still glowing, they would be treated as hazmat, and tightly controlled. And Workers Comp would have all sorts of rules to handle it.
Anyone know FOR SURE?
There are two main ways to X Ray something. One is with an X Ray generator which is the "light bulb" type. The other is with a radiation source. Even that is "shuttered" so it's an open/close deal. While it is true that there is a lot fo regulation in the X Ray business, I am not aware of any requirements for disposing of the lead sheets. I am local to you and I have access to a radiation meter. (I service some X Ray equipment) If you ever want a bunch of lead checked out, I can meter it. Honestly though, I think the risk is very low. I work on the large X Ray machines and I feel safe climbing inside them to service them. I read them with my meter and when they are off, the meter only shows background radiation levels. It's usually even lower than I read outside.