Regardless of where they are placed or whether or not I save them until I need them, it is painfully obvious that the 20 second time limit of the Tech Shrines is far too short. My Inquisitor has the perk that gives an additional 20% increased movement speed provided my suppression is in the green, and even still I've barely managed to leave the room before it expires. 

With the way the timer is now, there doesn't seem to be any point to including the Shrines in-game, as you never benefit from the buffs they provide.