Sector 7 wrote:
They seemed like completely different characters.
I think Greenwood's Pike was a much more developed character than we saw in "The Cage" over 40 years ago in a failed pilot for the Star Trek we later came to know.
Pike in 'The Cage' was going through a particularly rough patch at that point in time. He was angry, a little dispondant, and was questioning whether he was happy where he was after the death of several crewmembers during his prior mission.
There is no reason why that Pike cannot be the same character as the more confident, more assertive one we saw in ST11. Like other have suggested already, it stands to reason that the Pike in 'The Cage' wasn't his normal self. Both Pikes are the same character for me, different actors and timelines aside.