>you can absolutely use normality-assumed parametric tests on non-normal data within reason and your conditions you listed are within reason I would be careful

>you can absolutely use normality-assumed parametric tests on non-normal data within reason and your conditions you listed are within reason I would be careful throwing around this kind of rhetoric. There are special cases where the parametric assumption can be relaxed, it is not a general rule. This is why the word 'parametric' is used.