There was lots of both him and Han and Luke sneaking around the Death Star in the script and the rough cut.
86 INT. DEATH STAR - MAIN HALLWAY
Several Imperial officers walk through the wide main passageway. They pass several stormtroopers and a robot similar to Threepio but with an insect face. At the far end of the hallway, a passing flash of Ben Kenobi appears, then disappears down a small hallway. His appearance was so fleeting that it is hard to tell if he was real or just an illusion. No one in the hallway seemed to notice him.
Several Imperial officers walk through the wide main passageway. They pass several stormtroopers and a robot similar to Threepio but with an insect face. At the far end of the hallway, a passing flash of Ben Kenobi appears, then disappears down a small hallway. His appearance was so fleeting that it is hard to tell if he was real or just an illusion. No one in the hallway seemed to notice him.