However, with more experience comes a better understanding of the general metastructure of code, and therefore an ability to hold more code in your head at a time. (Compare for instance the well-known increased ability of chess masters to memorize chess boards, compared to non-chess players.)
When you’re an inexperienced programmer, you need to write the code down (and run it to test if it works) before you know if the code and algorithm solves the problem. This makes the inexperienced programmer take shortcuts while writing down the code, in order to get the code written down as fast as possible, while it is still clear in their mind.
The experienced programmer, on the other hand, can easily envision the entire algorithm in their head beforehand, and can therefore spare some extra attention for adding error checking and handling of outlier cases, while writing the code for the first time.
Also, as the article states, when you make a conscious habit of always writing code which checks for all errors and accounts for all outliers, it becomes easier with time; practice makes perfect, as it were. This is essentially a way to speed up the natural process described above.