What consequences?
There are no consequences for animals in Chernobyl, they are thriving in all aspects, even mammals living underground (mutations are fiction).

People that didn't leave the exclusion zone died of old age there.

Life on Earth had to deal with all sorts of radiation.

What caused mass extinction was ecosystem change, eg via global climate change.

Yeah, the environmental issues that are orders of magnitude less problematic than literally pumping the toxic chemicals into the atmosphere like with fossil fuels, vs comparatively miniscule amount of solid waste to store inert.

these rocks are long terms with the consequences on humans and the environment thousands of years later.

You bury them in concrete, done. Nuclear waste isn't an issue and hasn't ever been