Not to be a stickler or anything, but when the rules literally tell you that rebuking, commanding, or bolstering are also called turning, it's really hard to say they are separate abilities.Good clerics and paladins and some neutral clerics can channel positive energy, which can halt, drive off (rout), or destroy undead.
Evil clerics and some neutral clerics can channel negative energy, which can halt, awe (rebuke), control (command), or bolster undead.
Regardless of the effect, the general term for the activity is "turning." When attempting to exercise their divine control over these creatures, characters make turning checks.
If we really want to be technical, anything that says it requires the the specific ability "turn undead" doesn't work with a cleric as their ability is "Turn or Rebuke Undead." The reverse is also true with a feat like Divine Cleansing which specifically wants the cleric's ability, not the paladin's or blackguard's.