Get your camera out and put the outdrive in your ¼ to ½ trim positions you mentioned. Take a yardstick, or some other "straightedge" and put it vertical against the hull right in front of the AV plate. From a height of about a foot, considering the boat is sitting on the trailer and from an angle of 45 degrees, snap a picture from a distance of 5-6'.
Next, from the same height, about the same distance, move your aim over to the corner of the transom where the "chine" is located. Point here is I want to see if the "reverse chine" that seems to be running along most of the hull continues all the way through the transom, or if it stops maybe a foot or so prior to reaching the transom. In short, my thoughts are that if the reversing of the chine ceases prior to the transom, the water that was being contained by/trapped by the chine is allowed to exit and in doing so makes for your rooster.
I got 2 impressions from your video: First video confirmed my original assumption, being the AV plate is "dragging". Second video led me to believe it was reverse chine/absence of generating the tail.
When making the yardstick measurement, keep in mine that the boat is canted up about 8* (best I can measure with a protractor in the video) causing your AV plate to dip below the straight line measurement you will make. Since the water exits straight out (initially) from the lowest part of whatever is displacing the water, that is allowing for it to dip that much deeper.
Also, that 8* can aid the chine volume if the RC stops prior to the transom.....my current boat is a Crestliner Alum. and having the reverse chine it runs all the way and includes the transom. As a result it generates no rooster tail. Some Tri-hull designs of the past had what I am talking about where they stop the "sponson" water entrapment early and let it out prior to the transom, similar to what I think I see in the 2nd video.