I'd love to have a lawyer chime in and say "Go for it, it's easy and it improves accountability" though. Like if it only took a day and $100 it'd probably be worth it to me, regardless of the outcome.
I did get paid in the end, and there was the satisfaction of sticking it to a bully, but financially, it was not worth the effort.
On the other hand... It is cheap to try and see what happens, as long as expectations are right.
There's also a dollar limit ($4,000? Maybe 15 years ago?).
But yeah, by law you can't drag companies into small claims court. It's meant to settle minor things like your neighbor accidentally backing into (and damaging) your fence, etc.
The bigger the company, the heavier the penalties for fuckery should be. They should be the ones to live in fear, not the "little people".
They're far more likely to throw a couple hundred bucks at a local lawyer to show up.