While I can keep it charged, my tablet has significant capability to be helpful in emergencies:

• GPS and maps, both "live" connected to the Internet and offline. If GPS is down the maps still work and in some respects are easier to use than paper maps. The onboard compass also works well.
• Reference material, including bushcraft, medical, and a lot more.
• Copies of important documents.
• Books and games for entertainment.
• If the mobile or wireless Internet service is working, information and communication.

I could keep it running for at least a month if the power was out for that long, even on the move. In a true TEOTWAKI situation it would be challenging to keep it charged over a longer period of time, to be sure, but if I were prepping for that I'd leave the suburbs and be building or buying a rural off-grid home.

In other words, there's truth on both sides of the argument. Yes, tablets are more fragile than paper, need to be charged, and have less utility when the Internet is down. They may fail during an EMP, depending on source, strength, and so on. But they don't have to be worthless in an emergency, either.