>>How do you know if it’s correct when you never learned the “correct” way and you’re just blindly believing the tool?

This is just splitting hairs. People who use calculators interpret it in only one way. You are making a different and a more broad argument that words/symbols can have various meanings, hence anything can be interpreted in many ways.

While these are fun arguments to be made. They are not relevant to practical use of the calculator or LLMs.