Reading the article, I learned that the author does not really have a clue what he is talking about.
A mechanical clock is anything but analog. Look up what an escape wheel is for if you doubt it.
For "analog is easier" keep in mind that it is very hard to get chip based circuits do precisely reproducable analog behavior. Indeed, this is one of the main reasons why we have digital computer chips: the output of the circuit is sufficiently unambiguous.
And "can run things in parallel" - That's what e.g. FPGAs are for. One if my designs runs audio compression on 32 channels with a meagre 12MHz clock, among many, many other tasks. All at the same time.