Volition, the developer of Saints Row IV is working on a new game called Agents of Mayhem. A GOL supporter asked me to get in touch with them about a Linux version, so I did.
Here's what they said in reply:
A simple and honest answer.
See the announcement trailer below:
It's a new single-player open world action game with lots of toys to play with. Sounds cool, so hopefully since they don't seem adverse to a Linux version it could happen in future.
Their publisher Deep Silver is pretty Linux-friendly now and stranger things have happened.