Do I have a fault

I have a problem with a k11 facelift automatic. We just got the car it moves very good but has a small problem. When putting the car in drive it goes straight to move away. When moving it sometimes keeps the engine in a high rev then is fine.
Why I don't know if it is a fault as we have an older N reg automatic that doesn't move until you put your foot on the accelerator so you can leave it in drive and won't move until you press the pedal. On this new one it will move forward when you just put it in drive.
Is this a fault or is it because it is newer 2002 and lower mileage 37k.
My old k11 has done 123k.
 
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