I am seeing a use of the instruments that seems quite confused. The semicolon is part of the division of the expression of thought in supersets and subsets of structural affinity: comma, semicolon, period, new paragraph. (Which also means that the semicolon has a necessary role in general: whenever the structure is best defined also using that level of affinity.) The dash, the colon and the brackets are instead relat…
Did you mean `full-stop' in your 2nd paragraph, or are you ascribing a double role to the colon and ignoring the full-stop? According to Fowler (The King's English), there was a time when the difference between , ; : . was merely quantitative (which explains the name `semicolon').
I was in college only ten years ago, and my English professor’s key insight to punctuation is that it’s to define framing and tempo for your sentences.
That the sequence you listed is the pause count — similar to different empty spaces in music. Punctuation is just the negative space to frame your thoughts!
And perhaps a bit of tonality.