No, we don't.
Not only is it extremely expensive to go in court to have such a judgement for such affair, but it is also extremely complex as you are dealing with international laws and that most countries will not enforce a judgment made by another one for such "superficial" topics. And on top of that, you can add the Streisand effect.
Moreover, you still have the right to access the information, it will just not be shown by the popular search engines, as is the vast majority of the web.
This law is there to protect those that get a bad press on the web for things they already redeem themselves, have reach the prescription delay (e.g.: mistakes you did while you were minor) or that suffer from a side effect of some unrelated topic.
If you look at the questionnaire, it is long and complex enough to prevent most of abusive uses as it is the current case with the DCMA takedown idiocy. Plus the process is quite long (currently several weeks, or months) before a request is validated to prevent some scandale to be obfuscated that way.