Weird one. We have several work-at-home employees who can connect to the corporate network SSL VPN using AnyConnect, and their corporate computers work just fine. But other computers in their same households are now blocked from accessing an external website hosted within the corporate network.
In other words: a home laptop, which can usually connect to our website using HTTP over the Internet is blocked from that website when a corporate desktop in the same house connects to the SSL VPN using AnyConnect.
It's as if the Cisco RV345 at the office says "I have a VPN connection to that external IP address, so I'm not going to allow any other connections to that same IP address".