If beef steak needs to sit outside the refrigerator before cooking, should the same thing be done for tuna steaks too?
The same logic applies. The smaller the temperature difference between uncooked and cooked, the easier it will be to get an even amount of cooking all the way through. Especially with a fast method of cooking like broiling.
I think you have slightly more latitude with cold tuna, particularly because my favorite way to grill tuna is ahi style, nice and rare in the center. This requires a very good and properly handled piece of fish, but since the main problem with un-warmed proteins (pre-grilling) is that the center does come up to temperature evenly, it might be ideal if that's what you're going for.