I'm willing to bet a pretty fair number will actually start to study the Bible, rather than studying books or magazines about the Bible.
Considering how mind-numbingly boring the New World Translation is to read, I doubt it. And it's so skewed towards JW belief that it wouldn't make a difference anyway.
What I think will happen is that JW's will start getting a flood of reminders™, encouragement™, suggestions™, and experiences™ in the pubs and at meetings regarding the benefits™ of having a family book study. Get ready for back-to-back 25 paragraph study articles regarding the family book study arrangement™ in an upcoming WT rag, oh joy, complete with loads of cheesy pics of both a supposed first-century Christian father studying scrolls with his wife and kids and also of some modern JW family, all dressed up and perfectly groomed, sitting around a perfectly clean table in a perfectly clean room with perfectly arranged flowers in a vase appearing somewhere in the scene, listening with rapt attention to the father, who will be holding up an open NWT in one hand and have his other raised as if gesturing to make some important point. Ugh.