In general, sure, but how much diversity you can reasonably expect for say, high school calculus? It’s not as though schools abandoned their infinitesimal-based curricula to match the AP syllabus better.
The AP US History curriculum also kind of anticipates your critique:
“As has been the case for all prior versions of the AP U.S. History course, this AP U.S. History course framework includes a minimal number of individual names: the founders, several presidents and party leaders, and other individuals who are almost universally taught in college-level U.S. history courses. As history teachers know well, the material in this framework cannot be taught without careful attention to the individuals, events, and documents of American history; however, to ensure teachers have flexibility to teach specific content that is valued locally and individually, the course avoids prescribing details that would require all teachers to teach the same historical examples. Each teacher is responsible for selecting specific individuals, events, and documents for student investigation of the material in the course framework.”
https://apstudents.collegeboard.org/ap/pdf/ap-us-history-cou... (Page 11/15)
I would argue that it’s possible to have a good yet flexible standardized system; it’s just hard.