And even when I do it fast, I'm much much slower to manipulate the clutch and change gears compared to a modern automatic gearbox.
1) Electric v. ICE? No contest. Electric wins. Not at dispute.
2) "Manual Transmission" v. "Eco-Junk Software". Please see the following: https://www.motorbiscuit.com/does-sport-mode-really-do-anyth...
At a minimum, some "fly-by-wire" automatic ICE cars default to an "eco" mode which significantly impacts throttle (gas) responsiveness.
No doubt ECO mode does something well, and no doubt that modern automatic transmissions shift well.
My original statement was: "Electric (very responsive) => Manual (...) => Automatic (perceived unresponsiveness of ICE engines)"
Almost nobody is a race car driver, but the fly-by-wire in some ICE cars definitely affects driving feel in a way that is different than both manual transmission ICE and electric cars.
Many modern ICE cars are effectively fly-by-wire with eco-junk-softwware in between the accelerator and engine.
Manual transmissions would likely not have the lag that you're experiencing, but I definitely recognize what you're saying w.r.t. torque curves.
I'm not challenging ICE v. Electric, but instead attempting to clarify that there is quite a wide variation in ICE-behavior that is less present in a manual transmission ICE car.