Agreed with all of the above. I can't yet see whether the yard sale was something the murderer knew about or just a coincidence that worked out well for them, but whether they knew about the yard sale or not, they knew Elizabeth. They drove past her home the previous night. They specifically wanted her to die, and they told her as much. It's a shame the recording is awful because I suspect the person told Elizabeth exactly why she was being killed, and if that were clearer then we'd have an easier time seeing who it could have been.
The one thing I'd gently push back on is the idea that there's necessarily some particular aspect of a criminal mind that makes it impossible for others to understand, at least in in every case. I absolutely agree that I would just never have been able to come up with a predictive model of someone like Ted Bundy, but not every murder is committed by someone with a pathological lack of conscience. Sometimes a person murders someone because they have a reason they want that person to die, and they're willing to live with whatever guilt. Or maybe they think they need to, or maybe they're so enraged they see no other way. But the murder of Elizabeth is such a void of information that I can't rightly say which kind of mindset we're looking at.
One reason I shy away from thinking this could only be a particularly unsound mind is that this killing seems intensely personal. Not ritualistic but personal. The person stopped by the previous night, then they came by that morning, they waited for her husband to leave (which suggests to me they only wanted to kill Liz, and no one else, which suggests personal motive), they delivered a message to her, shot her, then circled back again for whatever reason (be it to make sure she was dead or to take a photo or whatever it was). They knew where to find her. They arrived at a very particular time, suggesting they knew what a normal schedule was for the couple. We're seeing planning here. The circumstances are too opportune to be entirely random chance - but they're also too specific for a stranger to know. This person had information a stranger couldn't have had, and that would have been difficult to learn from the outside of a person's life. I sincerely doubt they were hanging out in her neighborhood with a pair of binoculars for several mornings prior to that. The information about where to find her, what time her husband normally left for work - all that information got into the murderer's hands somehow. Either they knew it themselves or they had it relayed to them.
And what I'm stuck on is - and I know I've made more or less this exact post already - how the hell do you have a murderer who's got at least some level of familiarity with a victim's life, a personal message delivered, a method that involves facing the victim and emptying a revolver right into them, a recording of the murderer's tone of voice at least (so you'd think someone in her life would recognize the timbre if nothing else), and not a single person in her life has the faintest idea what anyone could possibly have wanted to kill her over? Even if that person in the video is a hired hit (which I really could go either way on), someone had a personal motive somewhere in the chain.
I know fandom groups can get intense, but homicide is a little less common than uncomfortably intense people, even in those circles. If no one in Elizabeth's life has any clue - even the tiniest hint of a notion - about who she might know who could have wanted to kill her, then I Elizabeth's death may be connected to something not visible to the other people in her life while she was alive. What that could be, I genuinely haven't the foggiest.