I like both Hunter AND Greenwood, and wouldn't like to have to choose between them, truth be told.
With both stories, we see Pike in different scenarios. In "The Cage" it's a Pike who is dealing with survivor's guilt after the deaths of not just several members of his crew but also his personal yeoman--all because he believes he did not assess a situation quickly enough, or act fast enough as a commander. We see someone who is questioning his place, and in the end actually AFFIRMS it. We also see a man who is endearingly COMPLETE CRAP with women, and does his best to resist the temptations of a fantasy crafted specifically for what he thinks he wants from a mate, and remains cool-headed and strong even with the fate of every crewmember aboard resting squarely on his and his XO's shoulders on the planet's surface. We see a captain who trusts his XO completely, backs up her command decisions, and who also has a warm, lively friendship with his CMO that hints as to a softer side than the reserved, private commander he presents to his crew.
Greenwood's Pike has a twinkle in his eye and we actually get to see him make command decisions on the fly in a slit second when the Enterprise comes out of warp. We see him get into that shuttle KNOWING he's most likely going to killed exactly like Robau, and doing it ANYWAY in the hopes that it will buy his crew and Vulcan a few more precious seconds. We see someone who for all his loyalty to Starfleet recognises that the culture of fear that had grown up after the destruction of the Kelvin has cost them the spirit of exploration, and put a military emphasis on what he believes to primarily be an exploratory force for good in the known universe. We see someone who challenges the people under him to be the best officers they can be, and that includes a 20-something Jim Kirk who unlike his Prime universe counterpart actually gets through the academy in 3 years instead of four, and has the potential to be the kind of captain who brings that desire for knowledge and spirit of exploration BACK to Starfleet.
In both cases Christopher Pike is shown to be the kind of captain who inspires loyalty in his crew, and in both cases, i would have liked to have seen more stories with him in the centre seat.
Which is, I suspect, why I write fanfic, and fangirl DC Fontana so damned hard for VULCAN'S GLORY, and similarly Dan Abnett for EARLY VOYAGES. it's why i also crave more Pike-era stories that aren't just about revisiting the Rigel VII, Talos IV, and Pike's ultimate fate over and over again, as if those are the only stories we can tell and retell about the character.