I've spoken to them and told them this is A Very Bad Thing, but they just brushed me off, so I wrote a pretty strongly worded email outlining how and why it was bad, but they just said [paraphrasing] "That's our procedure. people forget passwords all the time and we need to make it easy or they'll get upset"
The people in charge honestly seem to have no idea that people from outside the company can see this site. I try and try, but now I just despair