It's a horrible idea. In a crises the last thing you need to be doing is searching through pages of soft buttons looking for that critical control vs. reaching out to a physical control that's always in the same spot no matter what.
With the touchscreen control interfaces that I myself have designed and built (which were for things far less important than nuclear power), there was no paging involved.
Everything had a place, and that place was always the same day-to-day (barring infrequent redesigns of some aspect or other, but old-school buttons-and-knobs control panels sometimes see revisions as well as the reality of what they control changes over time).
It's definitely a bad idea, but at the same time, are nuclear power plants the sort of things that go horribly wrong if a human doesn't press a button quickly enough? I would have thought all the things that need to be timely would probably be automatically managed, leaving humans to do the high-level decisionmaking.
Also depends what buttons - it makes sense to have the "Might need to push quickly in an emergency" buttons big and physical - they're already shown to be treated differently in the current implementation, being larger and red in the photos.
But for things not really needed in such a situation? Or even access to things that aren't available within reach otherwise due to size constraints? A touchscreen might be the best solution.
There's probably more total sensors in the reactor than there can be physical dials for in a room of that size - there'a probably already some level of ordering which are the "important" ones, or which are at prime real-estate by the operators on the panel and not the other side of the room.
There's lots of steps between "Huge array of switches and dials for every possible thing" and "Single ipad in the middle of an empty room", after all.