That would be great, to have parity between iPad and iPhone, I second that motion!
At the same time, having been “forced” to try out using an iPad, I selected the smallest one, and I really like it. Besides Second Screen, I also use it for the Denon app, which has a better UI than the phone version, and also play my mobile game. I do end up moving this iPad to my office on the same basement level, now that I like using it, which makes it something I now need to remember to bring back to the theater. Less of a hassle than leaving it on another floor I guess. I suppose I could get two? But that seems a bit crazy, even for me.