Several years ago, I was tasked with checking the polarity of the components of the house system installed in a local auditorium. This was as a result of a theater road show engineer that complained of "major phase issues" in the system (red flag #1).
As the system couldn't be brought in, I had figure out how to get my Cricket in front of the speaker (JBL custom shop AM series, I think). The first idea was to affix the receiver end of the cricket to a long pole, lower it down from the light bridge to the front of the cabinet, and observe the results (red or green LED) from the ground wth binoculars. However, that idea failed because the white screen material in front of the boxes turned out to be too thick to see the Cricket through it.
We finally lowered a stagehand down in front of the cabinets in a harness with the cricket receiver. This was a left/center/right system, each cluster utilizing a 2-way down-fill, a 2-way main box, and a 2-way long-throw box for the balcony, in addition to some 15" low boxes and a double-18 box on each side (I'm not 100% sure of all of this, the original installer is a friend of mine and might this and correct me). Point being, there was a lot of components to check and the guy in the harness had to be brought up every 20 minutes or so because of the harness (we learned about the proper harness to use for such work that day!), so this all made for a long day for everyone involved.
And no problems were found. We checked the rig with the Cricket connected to the console and powering up and down the individual amp channels. No problems. At the end of the day, it finally occurred to me to ask if they observed the road guy as he was checking the rig and with what. They said he walked the room, then used something like my Cricket. Okay, but how was he checking things? Oh, he checked left, then center, then right. The entire rig popping at once? Yes. And he went to the local show buyer later that night and reported "all kinds of phase issues with the house system". Now I'm wishing I asked this question before we spent all day checking things.
So this can and does happen, Justice. It's certainly worth checking out, but don't be surprised if you don't find any problems with your system. Especially after reading about your observations during the show.
The local union guys in this situation told me that the show sounded very good, but it doesn't mean that he was good at diagnosing system problems.