The data showed unambiguously that TAs who lost their accent were much better teachers than those who didn't. It wasn't about not being able to understand the words of the TA; there was an English qualification test that weeded out anyone who couldn't be understood clearly. I think the lack of accent was a proxy for other changes, like being adaptable and willing to alter one's behavior. The bad TAs with accents tended to use ineffective teaching techniques and not change while the good TAs updated their teaching methods based on feedback.
This fits well with my experience.
I realized about 5 weeks into the class that "wee" was actually just "v". :( I've had other profs with heavy accents before (that other people said they couldn't understand but I did alright with), but this prof just completely lost me on some words.
But I do understand how hard it is. I don't even know how long I confused the pronunciation of cheveux (hair) and chevaux (horses) and I used to butcher the pronunciation of l'eau (water; it sounds like 'low' not 'loo').
I have zero doubt that it affected peoples grades. They couldn't clearly understand what was being said, and were less likely to ask for clarification if they knew communication would be a chore.