Let's take it back a step: Chromebook = Linux. In essence a Chromebook is a hardware optimized Linux computer.
Reposing the question: "So, do you think there will be a Linux friendly version? If not, why?"
The simplest answer: there is no Linux client for City of Heroes. And Cedega ran it once upon a time, but it is no longer available for anyone to use, access or see the source code.
If someone can manage to get Paragon Chat running on a Linux machine and reproduce it successfully on more than one system with written instructions on how to do it, then there is a shot.
(Except that Chromebooks and Video Cards don't really mix well... even the NVidia Tegra models are ARM-Based which will NEVER run City of Heroes or other MMOs, since those apps are written for Intel/AMD Processors.)