No, it's not wrong or we wouldn't be finding 5K year old instruments underneath melted glaciers as this article's evidence shows. And ice core samples from Greenland and Antarctica support this.

Without taking a position I will point out that your stated reasoning doesn't hold due to how much momentum these systems have and how slowly they respond. It seems entirely plausible that this outcome would still have happened if temperatures had plateaued several years ago.

Do you also wait until the inside of the meat is the temperature you want before taking it off the grill, then are later surprised when it is overcooked?