I am assuming that the blue trace is the falling edge of the reset pulse. There is an interesting section in the data sheet under "REF/SLEEP1 PIN":
"Ref/Sleep1 Pin
The Ref/Sleep1 pin provides access to the following functions:
• Standard voltage setting for output current level setting
• Output Enable-Disable control input
These functions are further described in the Truth Table section,
and in the discussion of output disabling, above.
Range A . In this range, control current value also varies in
accordance with V REF . Therefore, losses in the IC and the sense
resistors must be given extra consideration."
Could the internal value of Vref take longer to settle? Could you add extra delay between Vref falling and the blue trace falling edge, by a couple of ms?