That’s not accurate. I used to play the Android version of EA Tetris [1]. I liked the game so much that I paid to remove ads from it. One day, I opened the game, and the game told me that I wasn’t allowed to play it unless I installed an update for it. I installed the update, and launched the game again. The game then told me that I would not be allowed to play it after a specific date. After that date passed, I tried opening the game again, and it refused to let me play the game.
For more examples of games that contain self-destruct mechanisms, see the Stop Killing Games wiki [2].