Good term. It is much more sinister than simply fake.
Gaslighting and ptrojecting are both long known terms and tricks of Marxist’s and commies.
It’s all explained in their Rules for Radicals (Alinsky) and Rules for Revolution playbook/s/manuals.
Michelle Malkin and Glenn Beck (before he went off deep end) are just a couple who have covered/explained these leftist maneuvers, in the past.