Hi jpfeser,
We appreciate you reaching out to us. We understand that you are experiencing delayed response when using your wireless keyboard, except when it is connected via cable .
We recommend that you check out the article below.
Change your Mac keyboard’s response speed
Also, we recommend that you check if the issue persists when signed in on a different user account.
The article below can help if you do not have any other user account to test with.
Set up users, guests, and groups on Mac
If the issue persists on a different user, we recommend that you check if the issue persists while on safe mode. Below is an article to help guide you through the process.
How to use safe mode on your Mac
Take care!