There are big problems with your argument. First, Tesla has a far higher
rate of defects than almost any other car maker. In fact, they were
3rd from the bottom in the 2021 JD power survey. There are plenty of makers on that list that make far more cars than Tesla does and yet manage to have a far lower rate of problems. Saying 'it's mathematically impossible to be without issues' is whitewashing and ignoring the problem. It's not that they have problems, it's the number of problems they have.
You are correct, Tesla has had significant growth and is clearly experiencing growing pains, but that is a reason, not an excuse. Building, transportation and pre-delivery are all part of Tesla's responsibility when selling a car. If Tesla is going to have problems with their manufacturing then the poor souls working in the service centers need to be prepared to deal with them and Tesla should be giving them the resources to do so. Unfortunately, there have been far too many stories of service centers forcing people to accept defective cars, telling them the problems are 'within spec,' etc to be able to say that these are isolated incidents. To be fair, I don't think all service centers are that bad, but Tesla needs to set a standard for all of them. Not all car dealers are bad, either.
Car dealers are notorious for poor service. Elon wanted to disrupt and change the dealership model but unfortunately Tesla service centers are also earning a reputation for poor service. Someone earlier said 'car dealers are working on commission and have an incentive to treat you like a king,' but if the implied reverse is true, that service center employees are not on commission and have no incentive not to treat people like dirt then it's hard to argue the Tesla model is any better.
Ultimately, this comes down to Tesla as a corporation, how it trains, supports and incentivizes its service centers. It's not enough to say "car dealers are bad. We're chaining things so it's better" They actually need to be better, too.