Normally you'd want to throw the remains into a volcano but I guess if you feel safe just throwing it away then you do you.
I recall one datacenter consolidation project where the hard drives from decommissioned servers were zapped with a degaussing device, shredded, and then somebody signed off that they were dumped in a furnace somewhere. (At some ridiculous expense)
Meanwhile, the normal operation bins of drives that were in little blue bins for collection where just picked up and moved by the moving men, and are probably still in some closet in the new facility!
Can't be too careful nowadays.
Edit: wow... that joke went badly.