You're reading the idea of language policing as some actual thing, like people are hanging over someone watching every word they say. It certainly might be true in some offices or with some coworkers, but, I'm pretty sure feeling that your every word is policed is closer to a form of anxiety than an actual problem in most offices.
Or, your coworkers are basically bullying you over minor nitpicks, which will keep you in a state of mild anxiety.
Either way, having to monitor your every word is definitely closer to being anxious than not, and is definitely going to have some impact on your performance.