Jump Ball Toss - What would you do?

[rfp]

I'm the referee with the toss to begin an overtime period. Both jumpers go up and miss the ball and it drops between them. Ball hits the floor and is then grabbed by one of the jumpers who passes it quickly forward to begin an offensive drive. My partner is silent. By the time I get the whistle in my mouth the ball is at the foul line, but there is some howling as a result of the no-call.

I quickly decide on not blowing my whistle for a re-jump for a combination of the following reasons: maybe my partner saw a jumper touch the ball which I missed and his no-call was intentional; by the time I was able to whistle, a relatively long time had passed - it would have been a pretty late call; it's my partner's call, so "trust your partner," it's his call to make/miss; I didn't want to show up my partner for his missed call.

What would you have done?