Yet the only reason we are interested in statistics is for the predictive aspect. This is exactly where hypothesis testing goes wrong: as much as you may claim

Yet the only reason we are interested in statistics is for the predictive aspect. This is exactly where hypothesis testing goes wrong: as much as you may claim that you're doing something purely descriptive, the whole point of the exercise is to make decisions. Hypothesis tests simply don't give us the right information to base a decision on, but in practice people still do make decisions based on them in a fundamentally incorrect way.