It should respond the same as the analog servo, with digital servo's the only thing that changes is how things work under the hood, the steering commands are still the same. The term 'digital' servo is a bit of a misnomer, it's an industry term used only because the control electronics are different. The original analog servo's were still digital in nature, it's pulse length modulation, but with restrictions on duty cycle. They're still tehcnically digital devices because they rely on on and off pulses, even if all the electronics under the hood are analog.
Digital/Analog is actually not as clear cut to describe as you might think.