Nuclear power plants run critical systems on mostly analog and sometimes pld devices (much easier to formally verify). They also generally don't care about date-time and have rigorous testing/verification. Nuclear PP are not something to worry about for a 2038 bug. It's the industries that don't employ traditional engineering practices that are worrisome.
...which control at least one plant in Canada (though recently it was replaced with an emulation.)
And apparently they solved the 16-bit data problem, but maybe not the 32-bit date problem.
"A current generation DCC system resides at L3 MAPPS' main Montreal, Canada facility and is used to provide support to all participating COG members until 2035."