I'm going to try and click the button behind the core. I dont remember though, if you can click it while in combat.
You can't. The button also has a purpose of a sorts already: back when TfB was being tested, the doors from one data core room to the next sometimes wouldn't open when the room was cleared so the developers added the buttons that would open the doors when clicked. The buttons were placed in the back so that you couldn't get to them without getting into combat and were made so that you couldn't click them in combat. Basically, they're just an artifact from testing that isn't really needed but doesn't affect anything either (so there's no real pressing reason to remove it).