External inspections are the norm in most spheres of work which involves the public. Schools, hospital, prisons, every single restaurant or cafe, care homes. Others have mentioned financial regulators, police inspections, fire inspections etc.
Most have a published report.
Most are very stressful for those involved , and where the judgement is poor, can be career ending/impacting.
I don't see why teaching should be treated any differently, or more leniently. Like for any other area of management, if the oversight part is causing stress that's having an effect on your mental health, then perhaps it's not for you. I can't imagine a governor of a prison saying they shouldn't be inspected because they find it too stressful.
Yes, there may be a tricky child which throws a curve ball. Equally, a difficult prisoner, or patient, or unexpectedly vomiting customer! If the problem is that Ofsted seem to want perfection irrespective of what is going on, then that needs dealing with (the same as for any other inspection type), but as a parent I want external oversight, and I want to be able to read the published report, just like I could with my local hospital, or prison.