Computer A is acting as a gateway for Computer B and C. Computer A can connect via Cisco VPN client to the ASA and remote desktop into a computer on the other side. With split tunneling enabled it can also connect to shares on computers B and C at the same time. Computers B and C can both use the vpn client to connect to the ASA and use shares. However, computers B and C cannot Remote Desktop to the computer through the ASA.
Would this be a split-tunneling issue?