His lack of enthusiasm for the black singlet appears all the more curious when the like of San Antonio Spurs star Tony Parker has already declared himself available for the French side - one of the teams the Tall Blacks have to get past at the July tournament.
But unlike Parker, a veteran of 13 seasons in the NBA, Adams isn't as well-established and doesn't have the luxury of being able to dictate terms to his employers. The 2.13m centre has one more year left on his rookie deal with the Thunder and would become a restricted free agent, and Henare speculated the lure of a $10m-plus annual contract may be on Adams' mind this year.
"I'd imagine [contracts] might have something to do with it. When you're on the cusp of signing a multi-million dollar contract from your rookie contract, you want to do everything possible to make sure you get what you've earned. But that is obviously only speculation that that would come into his decision-making."
While disappointed to miss out on Adams' services once more, Henare does not believe it is a death knell for the Tall Blacks' chances of qualifying for Rio.
"You're always hopeful but he hasn't put the black singlet on yet, so it was one of those scenarios where if he plays great, if not, we've got a group of guys that have been through the trenches and will do so again."
The Tall Blacks will have one last shot at qualifying for Rio at a six-team qualifying tournament in Manila from July 4-10, with only the winning team earning a spot at the Olympics.