Okay, after much research, of what little there is on this car, and after looking repeatedly at all the supposed Black Limited pics that I have managed to accumulate, that second linked MKI (the Black Limited) looks like it actually is an authentic BL. The problem I had originally was in comparing it to pics of an actual BL located in Japan that I had found some years back. The door molding stripe colors looked quite different, and I also thought that the wording 'Black Limited' was located in different areas of the moldings. Further close-up inspections of original BL brochure pics, and of a few pics from an Australian that looked to have owned one, seems to show that this recently linked one is an actual BL.
Here is a link to the Japanese webpage that contains pics of an original BL, which caused me some initial concerns. I thought that the side molding pin striping on it had gold instead of silver coloring, but now think that it was maybe just the angle and lighting that gave it that impression. I also initially thought the close-up of the side molding BL letting was on the rear portion of the door, not the front. That was definitely my mistake. I've now blown up the pics of the side view of the car and can vaguely make out the BL lettering in the correct area. Still weird how the molding silver pin striping looks so gold on the one pic, while the silver pin striping below the molding looks exactly as it should.
ブラックリミテッド (本物) Unfortunately, I only saved a few pics from whatever webpage the Aussie BL was located on, and not the webpage itself, but they do appear to show almost identical side moldings, and lower striping, with the MR2 lettering. And even though the pics on the original BL brochures don't show those items in detail they do appear to have the same characteristics. So it appears it is my bad for jumping to conclusions on this.
FYI: The Aussie who owned a BL went by the user name 'Spots' on MR2oc.com, and I seem to recall that name from some of the Aussie boards as well. I have saved the MR2oc.com pages from when he commented on the one he owned, but unfortunately none of the links he posted regarding pics of it, or of others, still function.