> Anything you learn in school, you can in principle learn on your own.
I think this statement is lacking some truth. We can rewrite it as:
> Anything you learn in school, you can in principle learn on your own, but it can take significantly more time and there's no guarantee of consistency (compared to someone learning with a teacher).
>some instituting is staking part of its reputation on giving the world a promise that you have some minimum competence in some field.
Yes, and part of this process is having your work peer-reviewed as novel by active researchers in the field of interest (and getting advice/corrections from them along the way to the finish). I see this as an integral part of the process.