Backcourt and an interrupted dribble

[Rob1968]

A1 dribbling, advancing from backcourt to frontcourt, left foot in backcourt, right foot in frontcourt, dribbling the ball in the frontcourt, misses a dribble for two bounces of the ball, then regains dribble control of the ball with the right hand, with the same foot positions, and dribbling the ball in the frontcourt.
Thinking of 4-4-6, ball location during a dribble from backcourt to frontcourt, and 4-4-1 and 2, it seems like the call could be a backcourt violation, as the ball, during the two non-dribbled bounces, had obtained frontcourt status. However, the wording in Case Book 4.15.4 D RULING (b) cast doubt on whether the dribble had ended, and might lead one to think that 4-4-6 applies, and therefore a backcourt violation had not occurred.
The play looked, and seemed odd. I called a backcourt violation. Please, give me some opinions.

Thanks,
Rob1968