[godmode2019]

When you say browsing history you mean DNS lookups?

I wouldn't think they have access to your actual URLs as this is HTTPS, only the domain name. Or am I missing something.

[gambiting]

That is correct. Still, it's enough to establish that you(linked with your driving licence/passport) have visited pornhub 37 times a day on the 12th of December. They dont' store exactly what you were doing, but obviously it's not like the public cares about that. And pornhub is a very mild example, let's say a website you visited pulled some resource from 4chan(website known to harbour terrorists and pedophiles! /s) or somewhere that sounds like it's a terrorist organisation. Or even hacker news(are you a hacker? that's illegal you know). You have no control over your DNS lookups(by default) so you don't actually know what gets written in those logs, nor have any way to inspect them.

And specifically because the logs are so crap and don't actually contain any information beyond the domain name, they can be used to infer pretty much anything the prosecutors might want to see. Otherwise, why even keep them?