Don’t you wish there was a remote desktop appliance with 4, 8 or as many as 16 display connections?
There is. Cubix LaserCube supports 2, 4, 6, 8, up to 16 displays per user. LaserCube also increases performance by locating powerful graphics controllers on the operator's desktop.
Remotely supporting 3 or more displays per operator is a daunting challenge because thin client and remote desktop appliances lack two essential elements for success: a sufficient number of display connections and adequate bandwidth to support a lot of remote video output.
The mindset of what is possible in configuring thin-client desktops is limited to 2 displays, which is unfortunate because workers become more productive with more displays.