Therin of Andor wrote:
"Performance". Not the setting, nor the storyline, just Greenwood's interpretation of the character is from the new timeline.
You're misremembering. From the Author's Note to The Children of Kings
...J. J. Abrams's 2009 reimagining of Trek not only recharged my twenty-third-century batteries, but freed me of the need to write specifically to one vision of humanity's future.
The Children of Kings is a prequel to that 2009 film; the Enterprise as it might have been under Captain Christopher Pike (though I have to admit when I was writing Pike's scenes, I still pictured Jeffrey Hunter, rather than Bruce Greenwood. Old habits, dying hard, I suppose).
So it sounds to me like just the reverse of what you said -- it was intended to evoke the new timeline, but the portrayal of Pike (and some other details) drew more on the original version.