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Re:Sketchviz – Graphviz graphs in a hand-drawn style by mcqueenjordan on Tuesday November 12, 2019 @07:48PM (#21519999)
Others have mentioned generation and speed, but there's a much more important piece, IMO:

Maintainability. With declarative text-based diagramming, you can check these in as text files, and when the system evolves or the diagram has a need to change, it's easy to make a change and re-generate the image.

Re:Sketchviz – Graphviz graphs in a hand-drawn style by Fellshard on Tuesday November 12, 2019 @08:50PM (#21520434)
This. With the right tooling, you can embed diagrams as part of a larger document using a code block, which can be tuned and maintained as the system it's describing changes.

Once you learn the rules for the type of diagram you're making, it's much simpler than opening up <diagram tool of choice> and trying to shuffle the pieces around to make room for the change, or re-sketching the whole diagram from scratch on a piece of paper.