I ran it side-by-side with my Traceable hygrometer (after my initial review) and found it to be within 1 degree celsius and ± 5% RH. I’m surprised to hear about how much of a difference you’ve noticed (especially when it comes to RH).
From what I can see, the Govee is ± 3%, and the QP ± 5% (if I remember correctly) so 12.7% is more than expected. I would probably trust the QP a bit more, but that’s only because I found it to track pretty well with my Traceable device.
Here is a short post about the hygrometer I was using for comparison: Monitoring Traceable Hygrometer (4040) - Short Review