This decision is more difficult than Patel's axing, as Patel was going from Mumbai conditions to Mount Maunganui, and it was always expected that he'd be unlikely to continue as a test regular when playing in New Zealand.
Henry, however, would be playing on the same ground, against the same opposition, six days after he had ripped them to shreds, and the appeal must be significant to reward his efforts.
The 30-year-old also provides an intriguing point of difference to the Black Caps attack, regularly bowling 5-10km/h faster than his seam-bowling compatriots.
"It's something I've been working on for a while, just making sure I'm operating in the high 130s and trying to get to those 140s, and it seems to be when I get my rhythm right, that's where I operate best," Henry said.
Black Caps captain Tom Latham put a positive spin on the conundrum.
"They're great problems to have, you've got guys who are pushing their case for selection and guys stepping up when they take their opportunities. We'll have to assess that over the coming days but they're certainly good discussions to be having."
The easiest solution would be for Boult to spend more time with his newborn, allowing an unchanged lineup before revisiting the selection debate when the Black Caps tour England in June.
But if it's not that simple, then the Black Caps will be facing one of their toughest selection calls – or at least the toughest since they returned from Mumbai.