You appear to be inventing elaborate ways to talk about precedence without saying "precedence". Precedence, under the term "order of operations", predates comp

You appear to be inventing elaborate ways to talk about precedence without saying "precedence". Precedence, under the term "order of operations", predates computers by several centuries. Which is not to apply that it was fixed in stone from the beginning, or perfectly consistent, but mathematics agreed on the modern rules universally in the first couple decades of the 20th century.