Maybe intended as satire, but too close to the way people really see things. There are plenty of people who think getting called racist is exactly the same thing as censorship, or that white people and Christians never ever play the victim card. Satire usually takes the position and tweaks it humorously. This is straight-up duplication–putting it on an actual card is the only funny tweak, so it doesn’t actually parody the belief at all.
There are also plenty of people who play the race card to avoid legit criticism and plenty more who assume something is racist until proven innocent rather than innocent until proven guilty.