I could buy that weaseling out if you had said those things in the order in which I had quoted them. But the first thing you said about compile/run time was:

because all contextual effects occur at compile time, never at run time

So forget my complaint about your subsequenty statement (which I find misleading but can be awkwardly interpretted as "correct" as you note, especially if you ignore the above phrase).

You could claim that contexts are created at compile time but the effects of those contexts clearly must at least sometimes be applied at run time (since contexts get passed in to subroutines) and, in current versions of Perl, most if not all contextual effects occur at run time (nearly the opposite of what you claimed).