Hi prasimix,
I just checked the email they wrote me again, and I probably misunderstood it. I think they don't. They just take care of export/import stuff (export compliance from within the USA, taxes, ...) but not things like FCC/CE/EMI/WEEE. So that is still up to us. I found this quite usefull article:
https://www.mikrocontroller.net/articles/WEEE-AnmeldungYes, it is writen in German, but maybe you can use some translation tool. If you need any particular translation to english, PM me.
They talk alot about companies dealing with the WEEE problem for you. I have not come around to contact any one of them.
A friend also told me that it is common practice for small companies to register WEEE in their own country, which is not too expensive (less than 1k€ in Germany I think, and much cheaper in most other EU countries). This way you get this registration number you can put on your website and your bills. This protects you from those nasty lawyers who just use bots to crawl though the internet and sue evey company not complying. They then still sell their products within the whole EU (basically illegally), but there is no instance who could figure this out, as those who care about WEEE do not know where you ship your stuff. But as I said, this is just a rumor I heard from a friend, and it is defenetly not allowed.
Another nasty thing everyone should watch out for is the fact that the WEEE is basically a lottery. Just paying the fees is not enough. You will get an account which holds the amount of electronic waste you put into the market and you will get assined containers with e-waste randomly. You are then responsible for the correct disposal of these containers. And yes, this is literally a physical container sitting somewhere and you have to go there (or hire a company to do so) to get rid of it. Once you have done that the container will be subtracted from your account. Negative account values are possible, but they will not save you from another container. Here one of these companies dealing with this problem can be helpful.