As the forwarding comes from your e-mail I don’t see a problem with them seeing your name. Even web based it has to include who is sending it. You wouldn’t want anyone being accused of Spam if it is sent to someone not expecting it.
I take the point about the removal link.
It’s also on the Link to HTML, which could have be forwarded.
If you have a removal link in the text version (which has to be sent to include the Link to HTML), I wonder if it need be on the WebPages as well.
I have never trusted the web based ‘forward to a friend’ system. I always wonder how many are used to collect addresses for future Spam.
If I want to forward something I do it myself.