These are not problems with f-strings in particular, they are problems in general with the way python parsing and error reporting happens.  The second is presumably (I haven't gotten around to understanding how f-strings work under the hood) an example of error reporting from a separately evaled string.

Improvements in this area are certainly welcome.  There is an open issue relevant to your first example, issue 12458.  I'm sure that f-strings complicate the solution at least slightly, but I think there are more fundamental pre-requisites to be addressed first in solving it.