Considering large numbers of Russian troops were sickened after digging trenches and fortification near Chernobyl during the current war Ukraine, I tend think these warnings will go unheeded in the far future.
From https://www.bbc.com/news/science-environment-60528828:
Prof Claire Corkhill, a nuclear materials expert from Sheffield University, told the BBC the spike was "quite localised" and there had been increases along the main routes in and out of the zone around the reactor.
"The increased movement of people and vehicles in and around the Chernobyl zone will have kicked up radioactive dust that's on the ground," Prof Corkhill said.
"Provided there's no further movement, it should decrease again over the next couple of days."
But any military activity in the zone is concerning.