The Streisand effect is named after when Barbara Streisand's attempts to get a picture of her private house and garden removed from the internet, instead causin

The Streisand effect is named after when Barbara Streisand's attempts to get a picture of her private house and garden removed from the internet, instead causing it to go viral. Nintendo as a company does greatly benefit from people talking about it and it's products. That's publicity, word of mouth, free advertising basically. When they abuse takedowns, strikes and other measures, they do not want to stop that free publicity and word of mouth advertising. They are attempting to control it, manipulate it, and limit it to company approved screenshots, videos and information only. If those attempts generate more publicity - including making the taken down screenshots go viral (Streisand effect style) - that's beneficial publicity and word-of-mouth for them and their products. And it also amplifies the message sent to others: use only approved materials, or face our wrath! Therefore providing them with improved visibility and publicity - more word of mouth - and helping them spread their "fall in line!" message, can be seen as "rewarding" what they are doing. If instead most people were to completely ignore them and stop talking about them (out of fear)... THAT would hurt their publicity.