After a couple of days, so far so good. The displays have woken up every time I've prompted them to. I'll try to report back again after about a week to give it some more time and see if it's really fixed.
Configuration: 2013 Mac Pro, dual P2715Q, running 10.11.3.
The only way for me to wake up the monitor is to unplug the power connection to the UPS. Very frustrating to continuously crawl under the desk to perform this task just to get the monitor to display.