computability – What does it mean: "the computer is an amplifier of intelligence"?

There is an example in Kolmogorov complexity books and related articles:

Consider that we have a monkey on a typewriter and a monkey on a computer keyboard.

If the monkey randomly taps on a typewriter, the probability that he types all of Shakespeare's works (assuming the text has a length of 1 million bits) is about

p_typewriter (works of Shakespeare) ≈ 2 ^ -1000000

If the monkey is sitting in front of a computer, the likelihood that he is typing Shakespeare is now related to the complexity of Kolmogorov's works of Shakespeare, that we can approach from

K (Shakespeare works) ≈ 250000 bits

using a program that compresses these jobs using 250000 bits.
Then:

p_computer (works of Shakespeare) 2 ^ -K (works of Shakespeare) 2 ^ -250000

The example indicates that a random input on a computer is much more likely to produce "interesting" outputs than a random input on a typewriter.

We all know that a computer is an intelligence amplifier …

What is the computer actually doing?