There is no break in period, at least for the 2016's. I've been playing games on my E6 since I hooked it up. Also, unless you're doing something very extreme or intentionally trying to cause IR, it's very unlikely to happen, permanently anyway. The 2016's scrub the screen after every 4 hours of use and then a longer compensation cycle after 2000 hours. Or if you are really want to you can start a compensation cycle manually. I think I've done a manual cycle once and have clocked over 700 hours on mine since getting it in April.
IR and burn-in is always something I've seen people worry about but never seen it actually affect any panel in my experiences and certainly nobody has talked about having it happen on their OLED panels at the AV and AVS forums.