Yes, it can be used to delay the startup of the IC by delaying when Vcontrol rises relative to Vin. This can also be seen/verified in LTSpice.
LT3080
Recommended for New Designs
The LT3080 is a 1.1A low dropout linear regulator that can be paralleled to increase output current or spread heat in surface mounted boards. Architected...
Datasheet
LT3080 on Analog.com
LT3080-1
Recommended for New Designs
The LT3080-1 is a 1.1A low dropout linear regulator that incorporates an internal ballast resistor to allow direct paralleling of devices without the need...
Datasheet
LT3080-1 on Analog.com