The hardware wallet itself does not really care about which network or blockchain is being used. It depends on the software that it is connected to on your computer. If your software has support for the KeepKey on whichever chain you want to use, then it should be fine. You may need a firmware update depending on what changes with 2X, but their current plan won't require a firmware update.
Thank you for your response, I see what you mean, that makes sense. Unfortunately since the last fork, they are still in beta with Bitcoin Cash, so it seems to me like things are congested with their software development. No body lost BCH when fork happened, but I don't understand how people got it off there; I do not want to wait to redeem the new tokens because I want to be able to sell them as I see fit.