I can argue both yes and for various reasons.
Yes: i think it would be a good idea due to the fact that many people do in fact that many people do own these "silly" devices, which in turn would increase the availiability of this "silly" game. Also for promotion purposes, the more you get your product out there, the higher chance you will increase your already small memberbase. Convenience is another benefit, what better than just pull out your iPad and role play rather than lug around a laptop? Also, if you create it as a $1 app, that could gain the company some revenue.
No: Feral heart's server stability already sucks, PCs have exerienced and still do experience stability issues with it as well, perfect what you have first before you expand. Increase in products means the need for more staff and moderators, and perhaps developers specifically oriented for unix based devices.
Also for addiction purposes, a game is a game, it need not be a major part of your social life.
Note: The creation of an App for an idevice or even an android platform isn't too hard given the correct knowledge. An Apple iPad or even iPhone is (iOS) is based off of UNIX, a varient of Linux and can be worked with. Not many people at least in this forum know much about it probably because they haven't worked with it. Yes, it would be some work and time, but it can be achieved. I have seen other more complex game such as Need for Speed on the iPhone, if they can do it, FeralHeart can be done too. Utilize some of the iPhones cool features such as thr accelometer, it can be turned into a good app.
Yes, the game would be a battery hog certainly. Perhaps it would be a CPU and GPU hog as well, but that can be benchmarked in testing phases. On thing a dev could do is have the app only support iOS 6+ to ensure that only newer devices can have the app.
Another idea is rather than have a FeralHeart "game" app, what about a FeralHeart mobile website with login and inbox support?