Resolution, maybe
I tried something I read on cars101.com.
I got into the car and closed the doors, waited until the initial dash lights settled down,
then I held my finger on the lock/unlock button, holding it down in the unlock position, as I
inserted the key into the ignition switch and turned it to the On position, still holding down the button, then quickly, before one second passed, opened the door, still holding down the button until I heard the horn honk, then I let go of the button.
After that, it no longer blinked the way it had been (rapidly), except right after I would get out, close the door and lock the car with the fob, setting the alarm, after which, for a half minute it would blink repeatedly, then settle into a double blink every few seconds.
I tested the alarm by not turning off the alarm with the fob then opening the door with the key, at which time, the alarm sounded.
I notice now that, if I get out and close the doors and do not set the alarm, the security light does a single blink every few second.
Now, I guess, if this is resolved, I can tell by looking at the security indicator on the dash if the alarm is set (doulbe blinky) or not set (single blinky). Maybe, I'm still looking into it.