WEEE waste needs an audit trail, and most places have an arrangement with the supplier of their electronics equipment to take it away and dispose of it when it’s done with.
This is because typically, or as it should be, all of the serial numbers are recorded, from sale to purchase to then who owns it.
If the item is found in landfill somewhere, and it was meant to have been ‘disposed of properly’ then that can be traced from where it was bought, who it was sold to and they have to provide proof that it was then passed on legitimately for disposal. If they can’t do that, they’re liable for where that item has ended up because they didn’t ensure it was ultimately disposed of properly.
This is a bit bonkers, because for example if a University buys a monitor from say, Dell, and then they don’t ask Dell to dispose of it properly under a contractual agreement, they let a member of staff take it home when they’re done with it, and then it’s found by the side of the road, then the University is hypothetically liable for it, they bought it, they didn’t ensure it was disposed of properly and it wasn’t reported stolen.
Unless you can give them the assurances they want or need legally or otherwise, they’re unlikely to give you their waste equipment. Some places may be lax about this, but really they shouldn’t be because of these scenarios, and there are so many fly tippers these days.
It’s likely why so many places/people/charities struggle to get electronics donated to them now as well when they say “we need spare laptops”. It’s because they have to be disposed of properly once used.