Indeed strange. I am not aware of any issues in this area, and surely others would have run into this problem in very basic functionality if it was something in the phone firware. Not ruling that out, though...
In the interests of having hard evidence to give to the phone engineering team when/if we have to escalate to them: a packet capture from the actual phone port itself will be what they request - and will show conclusively that the phone is responding improperly to standard HTTP messages. Bear with my on this request, Wireshark is free and easy to use:
- Install Wireshark on your laptop
- Plug your laptop into the back of the phone in the PC switch port
- Make sure you phone's config in CCM admin hasn't disabled the phone switch port
- Start the packet capture on your PC
- Restart the phone (**#** is fine)
- Ruth through the scenario
- Stop the capture and attach here
Another thing to check, cookies have options to restrict their scope by domain, site, page. Any possibility of overlap or confusion there? It doesn't sound like it from your description...