Do they still sell that product? If so, please post a link. I can’t envision how it attaches to the lug nuts.
I used an 8 inch Harbor Freight 3-jaw puller, but had to improvise the jaws b/c the original jaws wouldn’t grab securely to the drum. I did it more or less like the vdo below, but with the improvised puller and an ordinary hammer. One other change, I applied a little tension w/the puller, then applied the rust penetrant, and let it sit several hours to give the penetrant time to work first. If you did this sort of thing for a living you’d want to have one of these sturdy pullers designed for brake drums, per the vdo. With that tool, the drum is either coming off, bending, or cracking. hmmm … maybe there’s a reason diy’ers shouldn’t have that tool! … lol
That’s indeed possible if a prior brake repairer switched the adjusters right & left. They’re different side to side.
My truck’s adjuster is at the bottom, but my Corolla’s is at the top. The bottom orientation provides much easier access for the diy’er without a lift. Since the OP has already removed the drum on one side, should be obvious where the adjuster is located.
One good idea the folks at Toyota came up for the Corolla with was to drill and tap the drum face so you can thread a bolt through the drum to push it off the hub. (Note: The hole must be aligned correctly w/the hub. I use stiff wire to probe the hole to make sure the bolt will make contact.) This makes the drum removal job a lot easier on the Corolla. Unfortunately for the diy’er, even the factory service manual fails to mention this feature … lol …
The FSM for my Corolla says it should have that feature, but it doesn’t. A sizeable hole in the face of the drum big enough to access the adjuster mechanism from the front. That’s a good idea from the repair perspective , but it could possibly present some wheel balancing problems. My drums don’t have that hole, but with the drum removed its easy to access the adjuster from the front. Prior to drum installation I adjust the shoes from the front so the drum just barely fits, then I don’t have to make any further adjustments from the rear.
BTW, it is a good idea for the diy’er to take a photo of how everything is configured with the drum off for future reference.
Hopefully OP will come back and tell us of their progress. Removing a stuck brake drum is indeed a bit of a puzzle.