Varve dating is not independent of radiocarbon dating...it depends on it being correct. If one is off, the other is off.
Did I mention “radiocarbon dating”?
You do know that there more than one radioactive isotope to be used in radiometric dating?
Radiocarbon is only useful and reliable for dating objects that are less 55,000 years old. Any higher, will require more calibration. So it is better to use other isotopes to measure anything greater than 100,000 years old or older.
For instances, specific isotopes from uranium, lead, argon, and some others, can measure some things older than a billion years old.
Plus. Using multiple different isotopes in dating, can verify if the first result is correct or not.
Sciences required verification. Plus, if you use thermoluminescence techniques to verify radiometric results, then you would satisfy the requirements of Scientific Method (SM), because SM demands that any testing must be repeatable or having multiple independent evidence (hence empirical evidence).
You are really are clueless in not only how sciences work, but the reliance on verification...or that can be more than one method or one technique for testing.
You’re utterly clueless.