This is a misleading and mostly false statement.
The human consciousness requires time for discrete data to be combined by the brain into what we perceive.
It is NOT instantaneous in real life. There is multiple forms of biological latency from the maximum speed of electrical impulse propagation through neurons to the "compile time" of the brain to assemble and modify information into a cohesive output for internal human consumption.
It may seem pointless to point this out, but many sources indicate that the delay between real life and perception is ~80 miliseconds, around 1/10th of a second.
These are speeds which are highly relevant to the discussion of software lag, as a program running 60 times per second updates several times during the "brain lag" of 80ms.
(Oh and the reason why you can overcome the 1/10th of a second lag and have your hand move in lockstep with reality is a variety of compensation mechanisms, like proprioception, which allow you to estimate where your hand will be in relation to reality and achieve it successfully).
https://blogs.scientificamerican.com/observations/time-on-th...