I use an Eizo EV3237 4k, and a 2013 Mac Pro, and have not experienced this problem. Well, I did, at first (but prior to 10.11.2), until Eizo pointed me to an Administratrive menu where I enabled HPD ("hot plug detect"). Since I changed that setting, a single tap on the space bar brings my monitor back from Energy Saving mode.
One difference that may enter the equation. I do not let my Mac Pro sleep. It's energy use at rest is so small (~78 watts) and it stays quite cool, so I see no need for actual sleep, and it runs 24x7. Only my monitor "sleeps" (goes into power saving mode, where the LED turns orange, the screen blanks, and the power use drops to ~1 watt).
Can you give any more details on enabling HPD?