Bearing is a misnomer most of the time. We ran an actual cage bearing on the hot rod stuff but it wasn't needed I don't think. The solid bushings sometimes had a light chamfer on one side that made it a bit easier to stuff the intake pilot shaft of the tranny back in . If neither side has the chamfer I wouldn't worry about it.
DO NOT use any grease on the input shaft or the bearing. Besides holding alignment to the crank the only use the bearing gets is if the engine is running with the clutch depressed when the trans is in gear like at a stop sign. I always dropped the trans in neutral and released the clutch if it was a stop over a few seconds. Holding the clutch in puts wear on the throw out bearing and the clutch fingers. I'm guessing it's a diaphragm clutch and not a 3 finger pressure plate.