(bash) Does the EXIT trap fire if/when bash is exited via a signal?

Note: This thread is entirely about bash.  No other shells or "POSIX" are
relevant here.  But comparisons between various versions of bash may be
relevant, since I think the behavior may have changed over the versions.

That said, suppose I have something like:

trap 'date > /tmp/somefile' EXIT

# Rest of script

Now, if during "Rest of script", say I hit ^C.  Or ^\.  Or, say I send a
signal via "kill" from another terminal.  Does my exit trap get executed?

I've had varying results.  I am pretty sure that at one point, the answer
was "no", but recently, I've noticed that when I exit via ^C, the EXIT trap
does execute.  I'm curious what the "official" answer is.

--
The people who tell us to be proud of the white race are the ones who make
us the most embarrassed by it.