Tesco, but without the murder
This sounds a lot like my Tesco Clubcard customer services experience before they updated their website a few years back.
There was a cookie that was messing up the server if I logged in using the correct page, and I was getting Internal Server Error until I cleared cookies. Clearing the cookies and logging in would land me back the Internal Server Error message.
Logging in via Tesco Direct to view my Clubcard took me via a beta version of the site, and that worked just fine.
Tried explaining this to CS, to get a bug reported. That's all I wanted: report a bug to whoever is working on this in India. I ended up with an inconsistently deleted account instead. Yep, I had Schrodinger's Tesco Clubcard - both registered and not registered at the same time. They fixed this too, and now I had a shiny brand new account, but the problem didn't go away.
I did exasperate the CS representative and had to get passed to somebody else, but I didn't need to drive my car to the woods.