Faster data != more usage. The two are entirely different things. The former may make the latter more likely but it's not guaranteed as people who parrot this meme make it out to be,
Many video streams default to a higher quality with a faster connection. Also, if you are browsing the Internet for 10 minutes on 3G vs 4G, you'll most likely wind up using more data because you can view more pages in the same amount of time. It's not neccesarily a drastic amount of more data, but it is true that when most people switch to 4G, their data usage increases.