Inasmuch as I use them constantly for all things personal, creative, and social, I'm certainly addicted to my iPads, and it's not uncommon for me to have the two iPads plus the iPhone going simultaneously. I have an additional addiction, however. Several times a week, I open the Settings on all devices and go through them simultaneously, down to the last item, to make sure they all match. Practically speaking, this is sometimes necessary, as the settings sometimes do change of their own accord; for example, when an updated app adds itself to the notification center, or a newly-downloaded app adds itself to the iCloud backup, but I freely admit this constant checking is obsessive.
I've also fallen asleep countless times with all three devices scattered over the bed, covers open and apps still running away. I used to look at those around me who had their noses buried in their iPads or iPhones in wonder; now, I completely 'get it'.