You can use semicolons when listing things instead of commas, but that's usually only for clarity when listing things with commas in them (e.g. "Last summer I visited Las Vegas, Nevada; Tucson, Arizona; Seattle, Washington; and Sacramento, California.")
I'm mean, you're not wrong about the semicolon usage but your example is absolute dogwater. I may be sleep deprived but why in Poseidon's briny deeps would you use a semicolon to separate sentence fragments into their own phrases?!
e.g. "Last year, I went to Germany, Spain, Italy, and France; and ate schnitzel, ham, gelato, and olives."
Semicolons can be used to list items that are more than just a word or two long, and may/may not contain commas. So if you're listing phrases contain commas, putting a comma between list entries would be confusing as fuck.
For example... I will list a few US capital cities, and their corresponding states: Albany, New York, Harrisburg, Pennsylvania, Sacramento, California, Houston, Texas...
Compare that to: Albany, New York; Harrisburg, Pennsylvania; Sacramento, California; Houston, Texas.
See? Much clearer.
I don't know if this person did it exactly correctly, and I'm not going to go back and read it again to check, but the idea itself is just fine.
Unless a lot has changed about semi-colons in the past 20 years.
Edit: I reluctantly went up to read it again, and it seems like the only thing missing would be a colon after "The combo of" and a comma before "really says it all"
I think the semicolons are correct too (though the colon you mentioned would add a lot of clarity). This grammar rule comes up infrequently enough that it can be jarring to encounter a semicolon before reaching the end of a properly formed independent clause.