This.
Just think about all the sequences in an ICE that have to take place before the rubber feels any torque against the asphalt (NOTE, greatly simplified and loosely paraphrased here for illustration)...
1) Pedal drops
2) Multiple points of mechanical linkage and cable move throttle assembly opening (new cars may electronically signal) open valve for more gas to enter system
3) Fuel injection adds air and creates mixture
4) Builds fuel mixture pressure and waits for valves in each cycle of the piston's 4 strokes
5) Fuel begins to affect multiple pistons
6) Explosion rates increase with force and frequency
7) Crank shaft spins up
8) Transmission and clutch begin to transfer/handle the load going through first universal joint
8b) May be a need for transmission shift point (which just wastes huge amounts of linkage/time)
9) Energy moves to drive shaft (assume rear wheel drive), then through the next universal joint
10) To rear differential
11) Converted energy to rear axles
12) Before it finally turns the wheels
There are so many moving parts that all support each other and have to work in concert, so really there are many more points that happen in an ICE spool up. It's really amazing as CO suggests the .6 second delay isn't actually longer.
I think it would be interesting to add up all the "slop" in play throughout all the mechanical linkages.
Many of you have already seen this, but watch what happens with every shift point against this V10 Viper (not all linkage related, but you get the idea) ...
Tesla Model S Performance vs Dodge Viper SRT10 Drag Racing 1/4 Mile - YouTube