That's something only someone who's never studied advanced math could say. Math notation and jargon can be extremely ambiguous and overloaded. "Normal" has about 20 different meanings.
No, I'd say ambiguous means "context dependent" and the context is unclear.
Pronouns like you/me/he/she/they/them are context dependent in everyday English writing but they're only ambiguous when the context is unclear, otherwise most people have no trouble dealing with them at all!
I haven't seen much of this "striving". Notation use is largely passed down from instructor to student, and there isn't much interest in the mathematical community to standardize.