In the US, there are regulations on disposal. I suspect the same exists for most countries. NiCd are considered hazardous and must be taken to a proper facility. NiCd's can also runaway and cause fires, but they are becoming quite rare. Aside from NiCd and lithium (all types), batteries can be disposed in ordinary trash according to code, but some rubbish haulers will refuse them under the guise of "no batteries."*
I agree with what's been said about lithium batteries and treat them all with respect. They go to hazardous waste, and I keep them away from flammables outside my regular living quarters until disposal.
*Our township contracts with a specific rubbish collection service. We aren't forced to use that service, but under the township contract, it's a lot cheaper (half the cost). That company has a flat "no battery " policy. The problem with that policy is that hazardous waste won't accept non-lithium batteries (it will accept NiCd). Should "no batteries" really apply to silver oxide hearing aid batteries? I've brought that matter up at council meetings, and off the record, decided to ignore the rubbish company's policy for them and ordinary alkaline batteries. My other alternatives are Lake Erie or burying them on the farm.