I appreciate your advice. Can't find anything out there right now. Also, I won't need it for any distance past 10-15 feet. Mainly for in house use. With that distance I am not sure I am very worried about tumbling. If I am that concerned, I will use 45LC or that ACP. I have seen some of the testing and have never been a big fan of killing ballistic gel. I have very little concern for Hornady or Winchester at the close distances. Not sure I would get a complaint for using them.
Anyway, it doesn't matter as I can't get any of them anyway. I will just have to practice with birdshot and wait for something to hit the shelves.
Okay, if you truly appreciate my advice, then I urge you to heed it because it sounds a lot to me like you may be dismissing it somewhat.
Although 10-15 yards isn't much, the short little 2.5" barrel on the Governor will spread out shot in a hurry, especially when it comes to ammo that lacks a shot cup because the shot will be spun by the rifling. As a result, impacts at 10-15 yards are going to be all over the target, and while that might sound like a good thing, at least some precision is required in order to assure critical hits, and shot that flies wild and strikes the target unpredictably isn't conducive to that.
Don't get me wrong, I encourage you to get the best ammo available to you, and if Winchester PDX1 or Hornady Triple Defense is all that you can get, then by all means buy it, as it is at the very least a bit better than ordinary .410 Shotgun ammo, but again, I strongly recommend that you prioritize purchasing some Federal 000 Buck as soon as possible.
I'm sure that in a pinch sny other .410 Bore Self-Defense ammo will prove to be effective, especially within the confines of your home in which the distance between yourself and your adversary are minimal, but you still want as much accuracy and penetration as possible, so whatever you do, do not use birdshot. In fact, don't use any shot smaller than 00 Buck, as it most likely will not penetration deeply enough to reach vital organs.
Generally speaking, for lack of anything better when it comes to .410 Buckshot, .45 Long Colt ought to be your first choice. Despite the fact that it has long since been eclipsed in terms of raw power by Magnum Revolver cartridges, .45 Long Colt has a long and storied history as a reliable man-stopper. It was originally designed in 1872-73 as a cartridge suitable for cavalry, ergo it was made to be powerful enough to drop men and horses alike, and up until the invention of the .357 Magnum cartridge, .45 Long Colt was the most powerful handgun cartridge commercially available.
Best of all, despite what certain folks may assert, pretty much any Standard Pressure .45LC is safe/accurate out of the Judge, will hit exactly where you aim, and leave behind an effective wound. So even if all you can find are Cowboy Action Shooting Loads, .45LC has your defensive needs covered far better than any sub-par .410 shotshells.
One word of caution though, avoid any overpressure .45 Long Colt ammo marked as +P, Magnum, or Ruger Only, because it is loaded significantly hotter than Standard Pressure ammo and thus is not safe to shoot out of the Governor. Yes, the Governor is rated for .45 ACP +P, but .45LC so-called "+P" loads are not actually loaded to SAAMI Specifications, it's just an unofficial designation for the sake of marketing to let the lay person know that it's hotter than normal Standard Pressure loads, the problem is that these so-called ".45LC +P" loads are loaded above and beyond the usual 10% increase that actual SAAMI Spec +P loads would be, clear into .44 Magnum territory.
Oh, and just a side note. While I choose to refer to it as ".45 Long Colt" it's officially just ".45 Colt" so if you see that printed on the box, it's the same exact thing. The nomenclature that is ".45 Long Colt" is a colloquialism which generally exists to better differentiate .45 Colt from the shorter .45 ACP (Automatic Colt Pistol) and historically the .45 Schofield cartridge which was sometimes colloquially referred to as .45 Short.