Throttles have only become drive by wire over the last 15 years, prior to that it was cable actuated and was instantaneous. Like a lawnmower. One could argue carburetor cars were even (a fraction of a second) more responsive.
Also if you WOT a modern car you get the instant response without the ecu calculating pedal angle, comparing to accelerator history, humidity factors etc etc but kiss fuel efficiency bye bye. There are mods and tunes that reprogram the fuel map to cut out this processing time
I also drive a big turbo family sedan and am used to saying 2 Mississippi before the engine pulls at full boar