Yes, I think this could be a problem, and this coming from a tablet fanatic. I do know children love to play with tablets, and I think it's either Apple, Amazon or both show children play with phones and tablets.
You should perhaps make the only time for tablet use, is to have one tablet, which they can even access, and you still doing the accessing that only has a Bible program on it such as And Bible, which can be found on both the Google and Amazon Android stores. The program is free by the way. I assume you can jailbreak an Apple device or root an Android device, so that it is the only app available on a tablet (by the way, some Android tablets are going for less than $60 even now! )There should be quite a few sales Kindle Fires also this Black Friday on which you can limit the time and apps that are viewed by children?
So, for a tablet fanatic, you might be surprised that I agree with the article, by the way there could be some good tablet sales on the evening of ...Thanksgivukkah as well.