Sure, but now any potential developers will have to take special measures to remain anonymous when working on any decentralised exchange, mixer of any sort or coin/token with anonymity feature. Even if they're not based in EU, the thought that you might get arrested anytime that you set foot in any of the EU countries is not going to be pleasant. And most people appreciate the option of traveling freely and would not be happy to give that away.
And from users' perspective, there's a risk of coins suspected to be mixed to be red-flagged by crypto-businesses, depending of how deep of a surveillance they'll be expected to do.
I don't think you can truly stay anonymous on the internet for a very long time if you are working on a project. Tbh, I don't believe satoshi is anonymous too. To us, yes he is still anonymous, but just because we don't know it, yet, doesn't mean somebody somewhere also doesn't. Let's say the US gov really knows who satoshi is, is it in their interest to share that info with the general public? Don't think so. They are not stupid.
The important trick is, to not alert the gov with your actions. If the government wants to know who you are, they will know it eventually. Keeping the low profile is more effective than trying to get the best privacy measures. When you are using the infrastructure they own, having privacy is almost a futile attempt.