The article gives an example that most programmers would be familiar with; canonicalization so that version control and code reviews go smoothly. Version control also becomes somewhat simpler as it can compare the structure of code rather than the structure of a sequence of characters that still must be lexed, parsed, etc. There are lots of other areas where storing code in a structured database of some sort would benefit tooling as well. One example is the use of language servers to index, perform continuous recompilation, perform cross-reference lookups, and offer code completion. With a structured database a lot of this becomes relatively trivial.
I'll definitely have to look into this language further as I'm curious about how their database is designed.