He probably saw the first result incorrectly, opticians almost exclusively use negative cylinders, it seems incredibly unlikely that he would both stumble upon a rare exception using positive cylinders, and that she'd coincidentally get his astigmatism way wrong as well.

I share his, uhm, perfectionism regarding optical corrections, and it's led to quite some anxiety. I feel like eye exams here aren't done with a lot of care, and that they just aim for "good enough". I'm not sure what to do with the knowledge that you can buy such an optician kit and test yourself. It's either a great or an absolutely terrible idea.