Earlier quoted context omitted.
Weird how that list doesn't include the state, coinage, or farming. Or animal domestication. Or smelting iron. Or steam engines and machine tools. Computers are basically irrelevant but networking would be huge - being able to communicate near-instantly across large distances was possibly the single biggest limiting factor for the size of empires in agrarian societies (other than food).
I'd argue the long term fixed preservation of knowledge outdoes almost every other invention. The value of being able to have a book you distribute which describes how to do all those other things, is immense.
In terms of building a civilisation in the first place, animal husbandry is vastly more useful than writing because writing is something scribes do (i.e. your non-farming elite - in medieval times, more than 9/10 of the population were farmers, and prehistorical farming was likely far less efficient than medieval farming what with the lack of iron etc), and animal husbandry improves your agriculture dramatically and are a major factor in providing the food-surplus for those scribes to exist in the first place.
In fact, particularly food-poor empires tend to be conquered by more food-rich empires that can field larger armies, so if your hypothetical has-writing empire fought my hypothetical has-animals empire then I expect mine would win. Especially since your army wouldn't have cavalry or charioteers.