So you think a private pilot should be able to perform steep turns how precisely? +/- 5 knots? 20 feet?
No, but I think he/she should be able to land on the centerline
with no sideways drift, and most can't do it and they pass anyway. Actually the PTS, as written, is OK. It is the examiners who don't require meeting the satndards. Examiners who have to make a living at the job of evaluating, so they allow, as we all humans do, a little sideload, or an overshoot, or any number of poor piloting tecniques, because it is safe.
They, like you, consider that the Private Pilot is OK if he is safe, meaning a sideloded landing that doesn't actually cause damage to the airplane.
Which is a good example of why we should do spin training:
A slightly sideloded landing (in a tricycle gear), in and of itself, is not so dangerous. But a pilot who cannot do one, who is untrained in doing non-sideloaded landings, will probably, someday, cause an accident on landing. So, the applicant must demonstrate his ability to perform this maneuver to be certified so that he will be properly trained, even though he may land his 172 sideloaded all he wants.
But he is trained to handle a sudden crosswind gust - or whatever. A pilot who is taght to grease it on everytime can handle the upsets that may occur during landing.
A pilot who is trained to spin and recover can handle extreme turbulance, or who knows. When his mind is not frozen from fear in extreme circumstances, his mind can solve problems.
If the examiner would hold the applicant to the letter in all the tasks, and properly use the objectives of each task, the PTS would be a much better taskmaster.
But it is not. Your example of 'steep turns' is a common example of how most people look at the PTS. Being able to perform maneuvers to PTS standards is not, in and of itself, a demonstration of pilot ability.
The examiner is supposed to test the applicant's overall ability, and there are thousands of words and phrases within the PTS to do this, but most examiners don't because of the political pressure to keep a job.
I am saying: Don't base your judgement of a pilot's ability or safety on his/her passing a PTS checkride. It is strictly a rote-monkey exercise, and is the government's poorly executed example of pilot certification.