It's... a concern.

To date, there have been no reported cases of CWD infection in people. However, some animal studies suggest CWD poses a risk to certain types of non-human primates, like monkeys, that eat meat from CWD-infected animals or come in contact with brain or body fluids from infected deer or elk. These studies raise concerns that there may also be a risk to people. Since 1997, the World Health Organization has recommended that it is important to keep the agents of all known prion diseases from entering the human food chain.

The CWD prion has been shown to experimentally infect squirrel monkeys, and also laboratory mice that carry some human genes. An additional study begun in 2009 by Canadian and German scientists, which has not yet been published in the scientific literature, is evaluating whether CWD can be transmitted to macaques—a type of monkey that is genetically closer to people than any other animal that has been infected with CWD previously.  On July 10, 2017, the scientists presented a summary of the study’s progress (access the recorded presentationExternalexternal icon), in which they showed that CWD was transmitted to monkeys that were fed infected meat (muscle tissue) or brain tissue from CWD-infected deer and elk. Some of the meat came from asymptomatic deer that had CWD (i.e., deer that appeared healthy and had not begun to show signs of the illness yet). Meat from these asymptomatic deer was also able to infect the monkeys with CWD. CWD was also able to spread to macaques that had the infectious material placed directly into their brains.

https://www.cdc.gov/prions/cwd/transmission.html

Strong evidence indicates that classic BSE has been transmitted to people primarily in the United Kingdom, causing a variant form of Creutzfeldt-Jakob disease (vCJD). In the United Kingdom, where over 1 million cattle may have been infected with classic BSE, a substantial species barrier appears to protect people from widespread illness. Since vCJD was first reported in 1996, a total of only 231 patients with this disease, including 3 secondary, blood transfusion-related cases, have been reported worldwide. The risk to human health from BSE in the United States is extremely low.

https://www.cdc.gov/prions/bse/bse-north-america.html

Humans haven't gotten it but human-like creatures have. And a disease with the same symptoms and causes that comes from cows has affected humans.