BOB-12009 works best in applications like I2C where: a logic high is created by the pull-up resistors; and logic low is created by the controller and peripheral pulling the signal to GND. The circuit comes from an NXP Semiconductors / Nexperia Application Note AN10441.
It does not work well in applications where you need the level-shifter itself to pull / drive an output high and low.
You may need a different solution…
The SparkFun Opto-isolator Breakout would work well. The transistors on the HV side would guarantee the servo PWM signal is pulled to HV-GND (HVG) for logic low.