Would you have a problem with a monument being built bearing the names of every person who believed climate change to be a hoax/conspiracy, as determined by census data, NSA records and voting history?
On the other side would be names of those who tried to bring about climate action but failed because of the people on the first list.
It would stand for centuries, by which time the future will have made a fool out of one set of people or the other.
If the deniers are right, they will be vindicated and celebrated. If they are wrong, their grandkids deserve to know who is to blame for the condition the Earth will be in by then.