It is written in docs, that
The
<Field/>
will rerender any time the field state it is subscribed to changes.
So, if I'd have several Fields, all of them will be re-rendered, while changing only one of them. Are there any ways to prevent re-renders of other Fields, that are not changing at the moment?
Yes, that's because your entire form is rerendering. Your question is exactly the reason that Final Form was designed from the ground up to allow fine grained render control.
Here's a video of me explaining it last month.
Check out this example of how to do it.