And definitely some brands of motors make more noise than other brands, and some different motors within the same brand are noisier than others within that brand.
Your bike seems to have an Ebikemotion X35 motor. It has internal gears (see somewhat exploded view below). I don't know what the gears are made of, but if they are metal (for durability) they are going to make some noise. Probably the quietest e-bike motors are the Brose mid-drives since they use a belt between the drive gears, or a gearless hub motor (although these still make an electrical whine).
Sometimes the motor noise is amplified somewhat through the bike's frame. I'm not an engineer, but we want pretty stiff frames and it seems to me that the stiffer the frame, the higher the potential for noise amplification. I don't know whether your Pinarello has louder, quieter or equivalent frame noise amplification as compared with other similar road e-bikes.
You might check with your dealer to find out whether this noise is normal, or an issue with the drive system (it can happen). Otherwise it might just be that your expectations might have been incorrect. Most bike reviews will mention if the motor is unusually loud (in the reviewer's opinion), but it seems less often that they comment on an e-bike which is 'unusually quiet'. Most of us expect some level of noise from the motor in our e-bike from our e-bike experience - it is the nature of the beast. This sounds like it might be your first e-bike, so you may have had inappropriate expectations.