This is the specified POSIX behaviour of signals:
A child created via fork(2) inherits a copy of its parent's signal dis‐
positions. During an execve(2), the dispositions of handled signals
are reset to the default; the dispositions of ignored signals are left
unchanged.
When you execute (fork/execve) your another script in the first case, the SIGINT handler is reset to the default handler in the another script (default behaviour is to terminate the process) - of course, the another script could install its own handler and change this behaviour.
However, in the second case, you've configured SIGINT to be ignored. This behaviour will be propagated to the another script, as indicated in the definition above. Again, the another script could change this behaviour by installing its own handler.
So this has nothing to do with Python directly. It is the expected behaviour of the underlying operating system's POSIX signal handling implementation.
PS. If you're wondering what fork() and execve() are, fork() creates a copy of the running process (a child) and execve() replaces the current process with another. This is the underlying mechanism used by subprocess.Popen() to run the 'another script': first make a copy of the current process and then replace it with the target process.