“When I use a word,” Humpty Dumpty said, in rather a scornful tone, “it means just what I choose it to mean—neither more nor less.” “The question is,” said Alice, “whether you can make words mean so many different things.” “The question is,” said Humpty Dumpty, “which is to be master—that's all.” - Lewis Carroll, a mathematician who wrote stories in his spare time.
A function calls a function with its own name-- there is a resemblance to recursion, where a function calls a function with its own name. This is the first I've ever heard of any controversy with the term "open recursion." Is it a common complaint, that the term "open recursion" abuses the notion of recursion?
Had you read the article you might have realized this term is overloaded.